displease vs annoy

displease and annoy both are verbs.

Word	Noun	Adjective	Verb	Adverb
displease	No	No	Yes	No
annoy	No	No	Yes	No

As verbs, annoy is a hyponym of displease; that is, annoy is a word with a more specific, narrower meaning than displease:

Other hyponyms of displease include bother, chafe, devil, get at, get to, gravel, irritate, nark, nettle, rag, rile, vex, repel, repulse, dissatisfy.

displease (verb)	annoy (verb)
give displeasure to	cause annoyance in; disturb, especially by minor irritations