Bishop of Rome vs Catholic

Bishop of Rome and Catholic both are nouns.

Word	Noun	Adjective	Verb	Adverb
Bishop of Rome	Yes	No	No	No
Catholic	Yes	Yes	No	No

As nouns, Catholic is a hypernym of Bishop of Rome; that is, Catholic is a word with a broader meaning than Bishop of Rome:

Other hypernyms of Bishop of Rome include spiritual leader.

Bishop of Rome (noun)	Catholic (noun)
the head of the Roman Catholic Church	a member of a Catholic church

Bishop of Rome (adjective)	Catholic (adjective)
	of or relating to or supporting Catholicism