Actress Kendrick or tennis pro Kournikova (4)
I believe the answer is:
anna
I believe this clue is a double definition.
'actress kendrick' is the first definition.
(I've seen this in another clue)
'tennis pro kournikova' is the second definition.
(I've seen this in another clue)
(Other definitions for anna that I've seen before include "Palindromic girl's name" , "Girl's name (palindrome)" , "Book by Tolstoy" , "Former one sixteenth of Rupee" , "and eleven, twenty four across heroine" .)