Most rude! Loudly gobbling dessert (7)
I believe the answer is:
strudel
'dessert' is the definition.
(I've seen this before)
'most rude loudly gobbling' is the wordplay.
'gobbling' indicates the answer is hidden within the clue (I've seen 'gobbled' mean this (the clue has gobbled up the answer)).
'STRUDEL' can be found hidden inside 'most rude loudly'.
(Other definitions for strudel that I've seen before include "Baked dish" , "German pie" , "See 6" , "Rustled like thin apple-filled pastry" , "Austrian fruit-filled pastry" .)