Graeco-Roman deity vs Greco-Roman deity

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

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

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

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

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