peeve vs bother

peeve and bother both are nouns.

Word	Noun	Adjective	Verb	Adverb
peeve	Yes	No	Yes	No
bother	Yes	No	Yes	No

As verbs, bother is a hypernym of peeve; that is, bother is a word with a broader meaning than peeve:

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

peeve (noun)	bother (noun)
an annoyed or irritated mood	something or someone that causes trouble; a source of unhappiness
	an angry disturbance

peeve (verb)	bother (verb)
cause to be annoyed, irritated, or resentful	cause annoyance in; disturb, especially by minor irritations
	make confused or perplexed or puzzled
	make nervous or agitated
	intrude or enter uninvited
	take the trouble to do something; concern oneself
	to cause inconvenience or discomfort to