Christian church vs faith

Christian church and faith both are nouns.

Word	Noun	Adjective	Verb	Adverb
Christian church	Yes	No	No	No
faith	Yes	No	No	No

As nouns, faith is a hypernym of Christian church; that is, faith is a word with a broader meaning than Christian church:

Christian church: one of the groups of Christians who have their own beliefs and forms of worship
faith: an institution to express belief in a divine power

Other hypernyms of Christian church include organized religion, religion.

Christian church (noun)	faith (noun)
one of the groups of Christians who have their own beliefs and forms of worship	loyalty or allegiance to a cause or a person
	a strong belief in a supernatural power or powers that control human destiny
	complete confidence in a person or plan etc
	an institution to express belief in a divine power