Abhorrent, obnoxious (13)
I believe the answer is:
objectionable
I believe this clue is a double definition.
'abhorrent' is the first definition.
(thesaurus)
'obnoxious' is the second definition.
(synonyms)
(Other definitions for objectionable that I've seen before include "Distasteful - noble Jacobite (anag)" , "Obnoxious" , "Offensive" , "Hateful" , "Repugnant" .)