Muslim vs Moor

Muslim and Moor both are nouns.

Word	Noun	Adjective	Verb	Adverb
Muslim	Yes	Yes	No	No
Moor	Yes	No	No	No

As nouns, Moor is a hyponym of Muslim; that is, Moor is a word with a more specific, narrower meaning than Muslim:

Muslim: a believer in or follower of Islam
Moor: one of the Muslim people of north Africa; of mixed Arab and Berber descent; converted to Islam in the 8th century; conqueror of Spain in the 8th century

Muslim (noun)	Moor (noun)
a believer in or follower of Islam	one of the Muslim people of north Africa; of mixed Arab and Berber descent; converted to Islam in the 8th century; conqueror of Spain in the 8th century

Muslim (adjective)	Moor (adjective)
of or relating to or supporting Islamism