jazz musician vs player

jazz musician and player both are nouns.

Word	Noun	Adjective	Verb	Adverb
jazz musician	Yes	No	No	No
player	Yes	No	No	No

As nouns, player is a hypernym of jazz musician; that is, player is a word with a broader meaning than jazz musician:

Other hypernyms of jazz musician include instrumentalist, musician.

jazz musician (noun)	player (noun)
a musician who plays or composes jazz music	a theatrical performer
	a person who participates in or is skilled at some game
	someone who plays a music as a profession
	a person who pursues a number of different social and sexual partners simultaneously
	someone who takes part in an activity