Begrudge gift quietly set aside (6)
I believe the answer is:
resent
'begrudge' is the definition.
(synonyms)
'gift quietly set aside' is the wordplay.
'gift' becomes 'present' (synonyms).
'quietly' becomes 'p' (p for piano and quiet).
'set aside' is a deletion indicator.
'present' with 'p' removed is 'RESENT'.
(Other definitions for resent that I've seen before include "Find objectionable" , "being put in post again" , "Feel bitter or indignant about" , "Take something as an affront" , "given another posting?" .)