Shed tears about that woman’s fruit (6)
I believe the answer is:
cherry
'fruit' is the definition.
(cherry is a kind of fruit)
'shed tears about that woman's' is the wordplay.
'shed tears' becomes 'cry' (I've seen this before).
'about' indicates putting letters inside.
'that woman' becomes 'her' (pronoun for a woman).
'cry' enclosing 'her' is 'CHERRY'.
(Other definitions for cherry that I've seen before include "Small succulent red stone-fruit" , "Deep red like small round fruit" , "Virginity (slang)" , "Stone fruit - shade of red" , "Tree with stoned fruit" .)