Noblewomen having fees to bag game (9)
I believe the answer is:
duchesses
'noblewomen' is the definition.
(duchess is a kind of noblewoman)
'fees to bag game' is the wordplay.
'fees' becomes 'dues' (payments which are due).
'to bag' indicates putting letters inside.
'game' becomes 'chess game' (chess game is a kind of game).
'dues' going around 'chess' is 'DUCHESSES'.
'having' acts as a link.
(Other definitions for duchesses that I've seen before include "ladies" , "aristocrats" .)