Woman’s contribution finally accepted by Times (5)
I believe the answer is:
agnes
'woman's' is the definition.
'contribution finally accepted by times' is the wordplay.
'finally' says to take the final letters.
'accepted by' indicates putting letters inside.
'times' becomes 'ages' (age is a kind of time).
The last letter of 'contribution' is 'n'.
'n' inserted inside 'ages' is 'AGNES'.
(Other definitions for agnes that I've seen before include "Scandinavian singer" , "The Eve of St. - (Keats)" , "Girl's name" , "Woman" , "Patron saint of virgins" .)