diff --git a/pandas/core/series.py b/pandas/core/series.py
index 206fcbe05d006..c96a5c7f15e71 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -4859,17 +4859,23 @@ def rename(
 
         Parameters
         ----------
-        axis : {0 or 'index'}
-            Unused. Parameter needed for compatibility with DataFrame.
-        index : scalar, hashable sequence, dict-like or function, optional
+        index : scalar, hashable sequence, dict-like or function optional
             Functions or dict-like are transformations to apply to
             the index.
             Scalar or hashable sequence-like will alter the ``Series.name``
             attribute.
-
-        **kwargs
-            Additional keyword arguments passed to the function. Only the
-            "inplace" keyword is used.
+        axis : {0 or 'index'}
+            Unused. Parameter needed for compatibility with DataFrame.
+        copy : bool, default True
+            Also copy underlying data.
+        inplace : bool, default False
+            Whether to return a new Series. If True the value of copy is ignored.
+        level : int or level name, default None
+            In case of MultiIndex, only rename labels in the specified level.
+        errors : {'ignore', 'raise'}, default 'ignore'
+            If 'raise', raise `KeyError` when a `dict-like mapper` or
+            `index` contains labels that are not present in the index being transformed.
+            If 'ignore', existing keys will be renamed and extra keys will be ignored.
 
         Returns
         -------
diff --git a/pandas/tests/series/methods/test_rename.py b/pandas/tests/series/methods/test_rename.py
index 90c8f775586e6..729c07b8bdde7 100644
--- a/pandas/tests/series/methods/test_rename.py
+++ b/pandas/tests/series/methods/test_rename.py
@@ -1,4 +1,5 @@
 from datetime import datetime
+import re
 
 import numpy as np
 import pytest
@@ -134,3 +135,18 @@ def test_rename_series_with_multiindex(self):
         series_expected = Series(np.ones(5), index=index_expected)
 
         tm.assert_series_equal(result, series_expected)
+
+    def test_rename_error_arg(self):
+        # GH 46889
+        ser = Series(["foo", "bar"])
+        match = re.escape("[2] not found in axis")
+        with pytest.raises(KeyError, match=match):
+            ser.rename({2: 9}, errors="raise")
+
+    def test_rename_copy_false(self):
+        # GH 46889
+        ser = Series(["foo", "bar"])
+        shallow_copy = ser.rename({1: 9}, copy=False)
+        ser[0] = "foobar"
+        assert ser[0] == shallow_copy[0]
+        assert ser[1] == shallow_copy[9]