Lady seen in oddly dour game (7)
I believe the answer is:
duchess
'lady' is the definition.
(duchess is a kind of lady)
'oddly dour game' is the wordplay.
'oddly' means one should take alternating letters.
'game' becomes 'chess' (chess is a kind of game).
The alternating letters of 'dour' are 'du'.
'du'+'chess'='DUCHESS'
'seen in' is the link.
(Other definitions for duchess that I've seen before include "Duke's wife" , "Noblewoman" , "Great lady" , "Titled female" , "Female aristocrat" .)