This girl may see Independent complaint rejected (5)
I believe the answer is:
naomi
'this girl' is the definition.
(girl's name)
'independent complaint rejected' is the wordplay.
'independent' becomes 'i'.
'complaint' becomes 'moan' (a moan is a complaint or objection).
'rejected' shows that the letters should be reversed in order.
'i'+'moan'='imoan'
'imoan' in reverse letter order is 'NAOMI'.
'may see' acts as a link.
(Other definitions for naomi that I've seen before include "Girl's name, meaning "pleasant"" , "Biblical mother-in-law of Ruth" , "Biblical woman" , "Ruth's mother-in-law (Bible)" , "Girl's name -- I moan (anag)" .)