annoyance vs pique

annoyance and pique both are nouns.

Word	Noun	Adjective	Verb	Adverb
annoyance	Yes	No	No	No
pique	Yes	No	Yes	No

As nouns, pique is a hyponym of annoyance; that is, pique is a word with a more specific, narrower meaning than annoyance:

Other hyponyms of annoyance include irritation, temper, frustration, aggravation, exasperation, harassment, torment, displeasure.

annoyance (noun)	pique (noun)
the act of troubling or annoying someone	tightly woven fabric with raised cords
something or someone that causes trouble; a source of unhappiness	a sudden outburst of anger
anger produced by some annoying irritation
an unpleasant person who is annoying or exasperating
the psychological state of being irritated or annoyed

annoyance (verb)	pique (verb)
	cause to feel resentment or indignation