Crossword Genius

For her, partner (not male) not available (4)

Ross

I believe the answer is:

anna

'for her' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

(Other definitions for anna that I've seen before include "Palindromic girl's name" , "Miss Karenina" , "She's a woman, whichever way you look at it" , "Dame -- Neagle" , "Unit of length" .)

I've seen this clue in The Guardian.
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