Food some rejected is horrible (4)
I believe the answer is:
dish
'food' is the definition.
(dish is a kind of food)
'some rejected is horrible' is the wordplay.
'some' indicates the answer is hidden within the clue (some of the parts of the word are used).
'DISH' can be found hidden inside 'rejected is horrible'.
(Other definitions for dish that I've seen before include "Attractive person" , "Directional antenna -- good-looking woman or man" , "Kitchen container" , "Lovely" , "bit of pottery?" .)