Greek deity vs Muse

Greek deity and Muse both are nouns.

Word	Noun	Adjective	Verb	Adverb
Greek deity	Yes	No	No	No
Muse	Yes	No	No	No

As nouns, Muse is a hyponym of Greek deity; that is, Muse is a word with a more specific, narrower meaning than Greek deity:

Greek deity: a deity worshipped by the ancient Greeks
Muse: in ancient Greek mythology any of 9 daughters of Zeus and Mnemosyne; protector of an art or science

Other hyponyms of Greek deity include Grace, forest god, satyr, silenus, Aether, Moirae, Moirai, Pontos, Pontus, Rhadamanthus.

Greek deity (noun)	Muse (noun)
a deity worshipped by the ancient Greeks	in ancient Greek mythology any of 9 daughters of Zeus and Mnemosyne; protector of an art or science