The girl I object about (4)
I believe the answer is:
enid
'the girl' is the definition.
(girl's name)
'i object about' is the wordplay.
'object' becomes 'end' (I've seen this in other clues).
'about' is an insertion indicator.
'i' going within 'end' is 'ENID'.
(Other definitions for enid that I've seen before include "- Blyton, children's writer" , "Miss Blyton" , "Dine with this girl" , "W - - Blyton" , "Woman" .)