Orthodox Church vs Eastern Orthodox Church

Orthodox Church and Eastern Orthodox Church both are nouns.

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

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

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

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

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