Eastern Orthodox Church vs Orthodox Church

Eastern Orthodox Church and Orthodox Church both are nouns.

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

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

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

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

Eastern Orthodox Church (noun)	Orthodox Church (noun)
derived from the Byzantine Church and adhering to Byzantine rites	derived from the Byzantine Church and adhering to Byzantine rites