poetry vs writing style

poetry and writing style both are nouns.

Word	Noun	Adjective	Verb	Adverb
poetry	Yes	No	No	No
writing style	Yes	No	No	No

As nouns, writing style is a hypernym of poetry; that is, writing style is a word with a broader meaning than poetry:

Other hypernyms of poetry include genre, literary genre.

poetry (noun)	writing style (noun)
literature in metrical form	a style of expressing yourself in writing
any communication resembling poetry in beauty or the evocation of feeling