diff --git a/pandas/_typing.py b/pandas/_typing.py
index 3df9a47a35fca..453de7172cd53 100644
--- a/pandas/_typing.py
+++ b/pandas/_typing.py
@@ -179,6 +179,7 @@ def __reversed__(self) -> Iterator[_T_co]:
 # passed in, a DataFrame is always returned.
 NDFrameT = TypeVar("NDFrameT", bound="NDFrame")
 
+IndexT = TypeVar("IndexT", bound="Index")
 NumpyIndexT = TypeVar("NumpyIndexT", np.ndarray, "Index")
 
 AxisInt = int
diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index 70b72577dd5d1..0dce7c9714cfa 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -11280,7 +11280,7 @@ def _shift_with_freq(self, periods: int, axis: int, freq) -> Self:
                     f"does not match PeriodIndex freq "
                     f"{freq_to_period_freqstr(orig_freq.n, orig_freq.name)}"
                 )
-            new_ax = index.shift(periods)
+            new_ax: Index = index.shift(periods)
         else:
             new_ax = index.shift(periods, freq)
 
diff --git a/pandas/core/indexes/accessors.py b/pandas/core/indexes/accessors.py
index 7e3ba4089ff60..57bc9fe6c13cf 100644
--- a/pandas/core/indexes/accessors.py
+++ b/pandas/core/indexes/accessors.py
@@ -5,6 +5,7 @@
 
 from typing import (
     TYPE_CHECKING,
+    NoReturn,
     cast,
 )
 import warnings
@@ -117,7 +118,7 @@ def _delegate_property_get(self, name: str):
 
         return result
 
-    def _delegate_property_set(self, name: str, value, *args, **kwargs):
+    def _delegate_property_set(self, name: str, value, *args, **kwargs) -> NoReturn:
         raise ValueError(
             "modifications to a property of a datetimelike object are not supported. "
             "Change values on the original."
@@ -501,7 +502,7 @@ def to_pytimedelta(self) -> np.ndarray:
         return self._get_values().to_pytimedelta()
 
     @property
-    def components(self):
+    def components(self) -> DataFrame:
         """
         Return a Dataframe of the components of the Timedeltas.
 
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index ad39907e7400e..990b8133b5247 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -55,6 +55,7 @@
     F,
     IgnoreRaise,
     IndexLabel,
+    IndexT,
     JoinHow,
     Level,
     NaPosition,
@@ -2030,7 +2031,7 @@ def sortlevel(
         ascending: bool | list[bool] = True,
         sort_remaining=None,
         na_position: NaPosition = "first",
-    ):
+    ) -> tuple[Self, np.ndarray]:
         """
         For internal compatibility with the Index API.
 
@@ -4444,7 +4445,7 @@ def _wrap_reindex_result(self, target, indexer, preserve_names: bool):
         target = self._maybe_preserve_names(target, preserve_names)
         return target
 
-    def _maybe_preserve_names(self, target: Index, preserve_names: bool):
+    def _maybe_preserve_names(self, target: IndexT, preserve_names: bool) -> IndexT:
         if preserve_names and target.nlevels == 1 and target.name != self.name:
             target = target.copy(deep=False)
             target.name = self.name
@@ -5965,7 +5966,7 @@ def sort(self, *args, **kwargs):
         """
         raise TypeError("cannot sort an Index object in-place, use sort_values instead")
 
-    def shift(self, periods: int = 1, freq=None):
+    def shift(self, periods: int = 1, freq=None) -> Self:
         """
         Shift index by desired number of time frequency increments.
 
diff --git a/pandas/core/indexes/datetimelike.py b/pandas/core/indexes/datetimelike.py
index cad8737a987d4..008ac71456518 100644
--- a/pandas/core/indexes/datetimelike.py
+++ b/pandas/core/indexes/datetimelike.py
@@ -272,7 +272,7 @@ def _can_partial_date_slice(self, reso: Resolution) -> bool:
     def _parsed_string_to_bounds(self, reso: Resolution, parsed):
         raise NotImplementedError
 
-    def _parse_with_reso(self, label: str):
+    def _parse_with_reso(self, label: str) -> tuple[datetime, Resolution]:
         # overridden by TimedeltaIndex
         try:
             if self.freq is None or hasattr(self.freq, "rule_code"):
@@ -294,7 +294,7 @@ def _parse_with_reso(self, label: str):
         reso = Resolution.from_attrname(reso_str)
         return parsed, reso
 
-    def _get_string_slice(self, key: str):
+    def _get_string_slice(self, key: str) -> slice | npt.NDArray[np.intp]:
         # overridden by TimedeltaIndex
         parsed, reso = self._parse_with_reso(key)
         try:
diff --git a/pandas/core/indexes/datetimes.py b/pandas/core/indexes/datetimes.py
index 3204a9c97ee73..66e27c9e3d1dc 100644
--- a/pandas/core/indexes/datetimes.py
+++ b/pandas/core/indexes/datetimes.py
@@ -518,7 +518,9 @@ def snap(self, freq: Frequency = "S") -> DatetimeIndex:
     # --------------------------------------------------------------------
     # Indexing Methods
 
-    def _parsed_string_to_bounds(self, reso: Resolution, parsed: dt.datetime):
+    def _parsed_string_to_bounds(
+        self, reso: Resolution, parsed: dt.datetime
+    ) -> tuple[Timestamp, Timestamp]:
         """
         Calculate datetime bounds for parsed time string and its resolution.
 
@@ -555,7 +557,7 @@ def _parsed_string_to_bounds(self, reso: Resolution, parsed: dt.datetime):
         #  which localizes parsed.
         return start, end
 
-    def _parse_with_reso(self, label: str):
+    def _parse_with_reso(self, label: str) -> tuple[Timestamp, Resolution]:
         parsed, reso = super()._parse_with_reso(label)
 
         parsed = Timestamp(parsed)
diff --git a/pandas/core/indexes/multi.py b/pandas/core/indexes/multi.py
index 8954d49649a2b..1412eb6caeb0b 100644
--- a/pandas/core/indexes/multi.py
+++ b/pandas/core/indexes/multi.py
@@ -37,6 +37,7 @@
     F,
     IgnoreRaise,
     IndexLabel,
+    IndexT,
     Scalar,
     Self,
     Shape,
@@ -2741,7 +2742,7 @@ def _wrap_reindex_result(self, target, indexer, preserve_names: bool):
         target = self._maybe_preserve_names(target, preserve_names)
         return target
 
-    def _maybe_preserve_names(self, target: Index, preserve_names: bool) -> Index:
+    def _maybe_preserve_names(self, target: IndexT, preserve_names: bool) -> IndexT:
         if (
             preserve_names
             and target.nlevels == self.nlevels
diff --git a/pandas/core/indexes/range.py b/pandas/core/indexes/range.py
index 62afcf8badb50..85015b522239f 100644
--- a/pandas/core/indexes/range.py
+++ b/pandas/core/indexes/range.py
@@ -876,7 +876,7 @@ def _difference(self, other, sort=None):
 
     def symmetric_difference(
         self, other, result_name: Hashable | None = None, sort=None
-    ):
+    ) -> Index:
         if not isinstance(other, RangeIndex) or sort is not None:
             return super().symmetric_difference(other, result_name, sort)
 
diff --git a/pandas/core/indexes/timedeltas.py b/pandas/core/indexes/timedeltas.py
index 08a265ba47648..db813b047b2bb 100644
--- a/pandas/core/indexes/timedeltas.py
+++ b/pandas/core/indexes/timedeltas.py
@@ -32,6 +32,7 @@
 from pandas.core.indexes.extension import inherit_names
 
 if TYPE_CHECKING:
+    from pandas._libs import NaTType
     from pandas._typing import DtypeObj
 
 
@@ -245,7 +246,10 @@ def get_loc(self, key):
 
         return Index.get_loc(self, key)
 
-    def _parse_with_reso(self, label: str):
+    # error: Return type "tuple[Timedelta | NaTType, None]" of "_parse_with_reso"
+    # incompatible with return type "tuple[datetime, Resolution]" in supertype
+    # "DatetimeIndexOpsMixin"
+    def _parse_with_reso(self, label: str) -> tuple[Timedelta | NaTType, None]:  # type: ignore[override]
         # the "with_reso" is a no-op for TimedeltaIndex
         parsed = Timedelta(label)
         return parsed, None
diff --git a/pyproject.toml b/pyproject.toml
index 9f2c7c0c56295..d4f50c8a2bd62 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -812,5 +812,5 @@ exclude_lines = [
 directory = "coverage_html_report"
 
 [tool.codespell]
-ignore-words-list = "blocs, coo, hist, nd, sav, ser, recuse, nin, timere, expec, expecs"
+ignore-words-list = "blocs, coo, hist, nd, sav, ser, recuse, nin, timere, expec, expecs, indext"
 ignore-regex = 'https://([\w/\.])+'