forest god vs Greek deity

forest god and Greek deity both are nouns.

Word	Noun	Adjective	Verb	Adverb
forest god	Yes	No	No	No
Greek deity	Yes	No	No	No

As nouns, Greek deity is a hypernym of forest god; that is, Greek deity is a word with a broader meaning than forest god:

forest god: one of a class of woodland deities; attendant on Bacchus; identified with Roman fauns
Greek deity: a deity worshipped by the ancient Greeks

forest god (noun)	Greek deity (noun)
one of a class of woodland deities; attendant on Bacchus; identified with Roman fauns	a deity worshipped by the ancient Greeks