earth god vs earth-god

earth god and earth-god both are nouns.

Word	Noun	Adjective	Verb	Adverb
earth god	Yes	No	No	No
earth-god	Yes	No	No	No

As nouns, earth god and earth-god are synonyms defined as:

earth god (noun)	earth-god (noun)
a god of fertility and vegetation	a god of fertility and vegetation