plague vs nuisance

plague and nuisance both are nouns.

Word	Noun	Adjective	Verb	Adverb
plague	Yes	No	Yes	No
nuisance	Yes	No	No	No

As nouns, nuisance is a hypernym of plague; that is, nuisance is a word with a broader meaning than plague:

Other hypernyms of plague include annoyance, bother, botheration, infliction, pain, pain in the ass, pain in the neck.

plague (noun)	nuisance (noun)
an annoyance	(law) a broad legal concept including anything that disturbs the reasonable use of your property or endangers life and health or is offensive
any large scale calamity (especially when thought to be sent by God)	something or someone that causes trouble; a source of unhappiness
a swarm of insects that attack plants
a serious (sometimes fatal) infection of rodents caused by Yersinia pestis and accidentally transmitted to humans by the bite of a flea that has bitten an infected animal
any epidemic disease with a high death rate

plague (verb)	nuisance (verb)
annoy continually or chronically
cause to suffer a blight