connoisseur vs aesthete

connoisseur and aesthete both are nouns.

Word	Noun	Adjective	Verb	Adverb
connoisseur	Yes	No	No	No
aesthete	Yes	No	No	No

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

connoisseur: an expert able to appreciate a field; especially in the fine arts
aesthete: one who professes great sensitivity to the beauty of art and nature

Other hyponyms of connoisseur include esthete, wine lover.

connoisseur (noun)	aesthete (noun)
an expert able to appreciate a field; especially in the fine arts	one who professes great sensitivity to the beauty of art and nature