earth god vs god

earth god and god both are nouns.

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

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

earth god: a god of fertility and vegetation
god: any supernatural being worshipped as controlling some part of the world or some aspect of life or who is the personification of a force

Other hypernyms of earth god include deity, divinity, immortal.

earth god (noun)	god (noun)
a god of fertility and vegetation	a material effigy that is worshipped
	any supernatural being worshipped as controlling some part of the world or some aspect of life or who is the personification of a force
	a man of such superior qualities that he seems like a deity to other people