John Wayne had a consistent list of male actors he worked with but multiple appearances by women were rare in his films. There are a few exceptions though. His two favorites seem to have been Maureen O'Hara and Vera Miles.
Some of the very few women who made more than one movie with "The Duke."
Maureen O'Hara - 5
Vera Miles - 3 (It would have been four but her scenes as Wayne's wife in "The Green Berets" were deleted.)
Lauren Bacall, Susan Hayward and Angie Dickinson, two each.