Greco-Roman deity vs Graeco-Roman deity

Greco-Roman deity and Graeco-Roman deity both are nouns.

Word	Noun	Adjective	Verb	Adverb
Greco-Roman deity	Yes	No	No	No
Graeco-Roman deity	Yes	No	No	No

As nouns, Greco-Roman deity and Graeco-Roman deity are synonyms defined as:

Greco-Roman deity and Graeco-Roman deity: a deity of classical mythology

Greco-Roman deity (noun)	Graeco-Roman deity (noun)
a deity of classical mythology	a deity of classical mythology