Love to be a woman (5)
I believe the answer is:
olive
'a woman' is the definition.
(woman's name)
'love to be' is the wordplay.
'love' becomes 'o' (love means zero in tennis).
'to be' becomes 'live' (to be is to live or exist).
'o'+'live'='OLIVE'
(Other definitions for olive that I've seen before include "This branch is offered in peace gesture" , "Yellowish-green colour" , "Its branch is a peace emblem" , "I love this fruit" , "Yellowy-green colour and fruit" .)