Noblewoman initially devouring undercooked game (7)
I believe the answer is:
duchess
'noblewoman' is the definition.
(duchess is a kind of noblewoman)
'initially devouring undercooked game' is the wordplay.
'initially' says to take the initial letters.
'game' becomes 'chess' (chess game is a kind of game).
The first letters of 'devouring undercooked' is 'du'.
'du'+'chess'='DUCHESS'
(Other definitions for duchess that I've seen before include "Noblewoman" , "title" , "Noble lady" , "Titled lady" , "Duke's wife" .)