diff --git a/pandas/core/indexes/datetimelike.py b/pandas/core/indexes/datetimelike.py
index 62831f941b535..c3d3a2432df54 100644
--- a/pandas/core/indexes/datetimelike.py
+++ b/pandas/core/indexes/datetimelike.py
@@ -123,6 +123,28 @@ def freq(self) -> BaseOffset | None:
         >>> datetimeindex.freq
         <Hour>
         """
+        """# Conceptual fix (not in the provided file)
+# In the DatetimeIndex class definition:
+
+def __sub__(self, other):
+    if isinstance(other, DatetimeIndex):
+        # ... existing code for subtraction ...
+        pass
+    
+    if isinstance(other, Timestamp):
+        # Perform the subtraction
+        # The result of the subtraction is a TimedeltaArray
+        result_array = self._data - other
+        
+        # Check if the original DatetimeIndex has a frequency.
+        # This is the key part of the fix.
+        freq = self.freq
+        
+        # Create the new TimedeltaIndex with the propagated frequency.
+        # This ensures the `freq` attribute is not None.
+        result_index = TimedeltaIndex(result_array, freq=freq)
+        return result_index
+    # ... other subtraction logic ..."""
         return self._data.freq
 
     @freq.setter