art vs homiletics

art and homiletics both are nouns.

Word	Noun	Adjective	Verb	Adverb
art	Yes	No	No	No
homiletics	Yes	No	No	No

As nouns, homiletics is a hyponym of art; that is, homiletics is a word with a more specific, narrower meaning than art:

art: a superior skill that you can learn by study and practice and observation
homiletics: the art of preaching

art (noun)	homiletics (noun)
the creation of beautiful or significant things	the branch of theology that deals with sermons and homilies
the products of human creativity; works of art collectively	the art of preaching
a superior skill that you can learn by study and practice and observation
photographs or other visual representations in a printed publication