A good shot but the winner lost the point (5)
I believe the answer is:
inner
'a good shot' is the definition.
(I've seen this before)
'the winner lost the point' is the wordplay.
'lost' suggests deleting specific letters.
'the point' becomes 'W' (West).
'winner' with 'w' removed is 'INNER'.
'but' is the link.
(Other definitions for inner that I've seen before include "Situated inside" , "Opposite of 13" , "Opposite of outer" , "personal" , "Good shot at archery" .)