Muslim vs religious person

Muslim and religious person both are nouns.

Word	Noun	Adjective	Verb	Adverb
Muslim	Yes	Yes	No	No
religious person	Yes	No	No	No

As nouns, religious person is a hypernym of Muslim; that is, religious person is a word with a broader meaning than Muslim:

Muslim (noun)	religious person (noun)
a believer in or follower of Islam	a person who manifests devotion to a deity

Muslim (adjective)	religious person (adjective)
of or relating to or supporting Islamism