satyr vs forest god

satyr and forest god both are nouns.

Word	Noun	Adjective	Verb	Adverb
satyr	Yes	No	No	No
forest god	Yes	No	No	No

As nouns, satyr and forest god are synonyms defined as:

satyr and forest god: one of a class of woodland deities; attendant on Bacchus; identified with Roman fauns

satyr (noun)	forest god (noun)
one of a class of woodland deities; attendant on Bacchus; identified with Roman fauns	one of a class of woodland deities; attendant on Bacchus; identified with Roman fauns
man with strong sexual desires