instigator vs trouble maker

instigator and trouble maker both are nouns.

Word	Noun	Adjective	Verb	Adverb
instigator	Yes	No	No	No
trouble maker	Yes	No	No	No

As nouns, trouble maker is a hypernym of instigator; that is, trouble maker is a word with a broader meaning than instigator:

Other hypernyms of instigator include bad hat, mischief-maker, troublemaker, troubler.

instigator (noun)	trouble maker (noun)
a person who initiates a course of action	someone who deliberately stirs up trouble
someone who deliberately foments trouble