troublemaker vs bad hat

troublemaker and bad hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
troublemaker	Yes	No	No	No
bad hat	Yes	No	No	No

As nouns, troublemaker and bad hat are synonyms defined as:

Other synonyms of troublemaker include mischief-maker, trouble maker, troubler.

troublemaker (noun)	bad hat (noun)
someone who deliberately stirs up trouble	someone who deliberately stirs up trouble