Aim to embrace one woman (4)
I believe the answer is:
enid
'woman' is the definition.
(woman's name)
'aim to embrace one' is the wordplay.
'aim' becomes 'end' (both can mean a goal or purpose).
'to embrace' indicates putting letters inside.
'one' becomes 'i' (Roman numeral).
'end' placed around 'i' is 'ENID'.
(Other definitions for enid that I've seen before include "W - - Blyton" , "Dine with this girl" , "Woman" , "& 18 Down Children's author" , "Miss Blyton" .)