Bad taste, say (5)
I believe the answer is:
state
'say' is the definition.
('state' can be a synonym of 'say')
'bad taste' is the wordplay.
'bad' is an anagram indicator.
'taste' anagrammed gives 'STATE'.
(Other definitions for state that I've seen before include "For example, New York or Washington but not Boston or Philadelphia" , "Declare: condition" , "Assert; nation" , "Express; pomp" , "Public" .)