rite vs religious rite

rite and religious rite both are nouns.

Word	Noun	Adjective	Verb	Adverb
rite	Yes	No	No	No
religious rite	Yes	No	No	No

As nouns, rite and religious rite are synonyms defined as:

rite and religious rite: an established ceremony prescribed by a religion

rite (noun)	religious rite (noun)
any customary observance or practice	an established ceremony prescribed by a religion
an established ceremony prescribed by a religion