Deny it's garbage (6)
I believe the answer is:
refuse
I believe this clue is a double definition.
'deny' is the first definition.
(deny can mean to refuse or reject)
'it's garbage' is the second definition.
(synonyms)
(Other definitions for refuse that I've seen before include "Pass up" , "Junk" , "Trash" , "Turn down, reject" , "Say no to garbage" .)