Woman getting an A with papers returned (5)
I believe the answer is:
diana
'woman' is the definition.
'an a with papers returned' is the wordplay.
'with' is a charade indicator (letters next to each other).
'papers' becomes 'ID' (identification papers).
'returned' says the letters should be written backwards.
'id' written backwards gives 'di'.
'an'+'a'='ana'
'ana' put after 'di' is 'DIANA'.
'getting' is the link.
(Other definitions for diana that I've seen before include "Roman goddess of the moon and hunting" , "Roman godess of the hunt" , "Dame - Rigg, actress" , "Woman" , "Girl's name; goddess" .)