badgerer vs bad hat

badgerer and bad hat both are nouns.

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

As nouns, bad hat is a hypernym of badgerer; that is, bad hat is a word with a broader meaning than badgerer:

badgerer: someone who tries to embarrass you with gibes and questions and objections
bad hat: someone who deliberately stirs up trouble

Other hypernyms of badgerer include mischief-maker, trouble maker, troublemaker, troubler.

badgerer (noun)	bad hat (noun)
someone who tries to embarrass you with gibes and questions and objections	someone who deliberately stirs up trouble