rankle vs annoy

rankle and annoy both are verbs.

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

As verbs, annoy is a hypernym of rankle; that is, annoy is a word with a broader meaning than rankle:

Other hypernyms of rankle include bother, chafe, devil, get at, get to, gravel, irritate, nark, nettle, rag, rile, vex.

rankle (verb)	annoy (verb)
gnaw into; make resentful or angry	cause annoyance in; disturb, especially by minor irritations