big deal vs personage

big deal and personage both are nouns.

Word	Noun	Adjective	Verb	Adverb
big deal	Yes	No	No	No
personage	Yes	No	No	No

As nouns, personage is a hypernym of big deal; that is, personage is a word with a broader meaning than big deal:

big deal: an important influential person
personage: a person whose actions and opinions strongly influence the course of events

Other hypernyms of big deal include important person, influential person.

big deal (noun)	personage (noun)
anything of great importance or consequence	another word for person; a person not meriting identification
an important influential person	a person whose actions and opinions strongly influence the course of events