displeasure vs annoyance

displeasure and annoyance both are nouns.

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

As nouns, annoyance is a hypernym of displeasure; that is, annoyance is a word with a broader meaning than displeasure:

displeasure: the feeling of being displeased or annoyed or dissatisfied with someone or something
annoyance: anger produced by some annoying irritation

Other hypernyms of displeasure include chafe, vexation, dissatisfaction.

displeasure (noun)	annoyance (noun)
the feeling of being displeased or annoyed or dissatisfied with someone or something	the act of troubling or annoying someone
	something or someone that causes trouble; a source of unhappiness
	anger produced by some annoying irritation
	an unpleasant person who is annoying or exasperating
	the psychological state of being irritated or annoyed