complaint vs pet peeve

complaint and pet peeve both are nouns.

Word	Noun	Adjective	Verb	Adverb
complaint	Yes	No	No	No
pet peeve	Yes	No	No	No

As nouns, pet peeve is a hyponym of complaint; that is, pet peeve is a word with a more specific, narrower meaning than complaint:

Other hyponyms of complaint include grievance, grumble, grumbling, murmur, murmuring, mutter, muttering, jeremiad, kvetch, whimper, whine.

complaint (noun)	pet peeve (noun)
an expression of grievance or resentment	an opportunity for complaint that is seldom missed
(formerly) a loud cry (or repeated cries) of pain or rage or sorrow
(civil law) the first pleading of the plaintiff setting out the facts on which the claim for relief is based
(criminal law) a pleading describing some wrong or offense
an often persistent bodily disorder or disease; a cause for complaining