Exclusive food, but not with cold dessert (6)
I believe the answer is:
choice
'exclusive food' is the definition.
(choice can describe excellent quality food)
'but not with cold dessert' is the wordplay.
'but not' becomes 'ho' (I can't justify this - if you can you should believe this answer much more).
'with' says to put letters next to each other.
'cold' becomes 'c' (eg on taps).
'dessert' becomes 'ice' (ice is a kind of dessert).
'ho' after 'c' is 'cho'.
'cho'+'ice'='CHOICE'
(Other definitions for choice that I've seen before include "'Option, alternative (6)'" , "'Selection, option (6)'" , "Volition" , "of superior quality" , "Variety" .)