religious rite vs rite

religious rite and rite both are nouns.

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

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

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

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