Eastern Orthodox Church vs Eastern Church

Eastern Orthodox Church and Eastern Church both are nouns.

Word	Noun	Adjective	Verb	Adverb
Eastern Orthodox Church	Yes	No	No	No
Eastern Church	Yes	No	No	No

As nouns, Eastern Orthodox Church and Eastern Church are synonyms defined as:

Eastern Orthodox Church and Eastern Church: derived from the Byzantine Church and adhering to Byzantine rites

Other synonyms of Eastern Orthodox Church include Eastern Orthodox, Orthodox Catholic Church, Orthodox Church.

Eastern Orthodox Church (noun)	Eastern Church (noun)
derived from the Byzantine Church and adhering to Byzantine rites	the Catholic Church as it existed in the Byzantine Empire
	derived from the Byzantine Church and adhering to Byzantine rites