Noblewoman with a Dutch game (7)
I believe the answer is:
duchess
'noblewoman' is the definition.
(duchess is a kind of noblewoman)
'with a dutch game' is the wordplay.
'with' means one lot of letters go next to another.
'a dutch' becomes 'du' (I've seen this in other clues).
'game' becomes 'chess' (chess is a kind of game).
'du' next to 'chess' is 'DUCHESS'.
(Other definitions for duchess that I've seen before include "title" , "Titled female" , "Duke's wife" , "Titled lady" , "Noblewoman" .)