genre vs fine art

genre and fine art both are nouns.

Word	Noun	Adjective	Verb	Adverb
genre	Yes	No	No	No
fine art	Yes	No	No	No

As nouns, fine art is a hypernym of genre; that is, fine art is a word with a broader meaning than genre:

genre: a class of art (or artistic endeavor) having a characteristic form or technique
fine art: the products of human creativity; works of art collectively

Other hypernyms of genre include art.

genre (noun)	fine art (noun)
a class of art (or artistic endeavor) having a characteristic form or technique	the products of human creativity; works of art collectively
a kind of literary or artistic work
a style of expressing yourself in writing