just deserts vs consequence

just deserts and consequence both are nouns.

Word	Noun	Adjective	Verb	Adverb
just deserts	Yes	No	No	No
consequence	Yes	No	No	No

As nouns, consequence is a hypernym of just deserts; that is, consequence is a word with a broader meaning than just deserts:

just deserts: an outcome (good or bad) that is well deserved and fitting
consequence: the outcome of an event especially as relative to an individual

Other hypernyms of just deserts include aftermath.

just deserts (noun)	consequence (noun)
an outcome (good or bad) that is well deserved and fitting	having important effects or influence
	the outcome of an event especially as relative to an individual
	a phenomenon that follows and is caused by some previous phenomenon