literary genre vs poesy

literary genre and poesy both are nouns.

Word	Noun	Adjective	Verb	Adverb
literary genre	Yes	No	No	No
poesy	Yes	No	No	No

As nouns, poesy is a hyponym of literary genre; that is, poesy is a word with a more specific, narrower meaning than literary genre:

Other hyponyms of literary genre include drama, prose, form, poetry, verse, satire, steampunk.

literary genre (noun)	poesy (noun)
a style of expressing yourself in writing	literature in metrical form