religious music vs music genre

religious music and music genre both are nouns.

Word	Noun	Adjective	Verb	Adverb
religious music	Yes	No	No	No
music genre	Yes	No	No	No

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

religious music: genre of music composed for performance as part of religious ceremonies
music genre: an expressive style of music

Other hypernyms of religious music include musical genre, musical style.

religious music (noun)	music genre (noun)
genre of music composed for performance as part of religious ceremonies	an expressive style of music