religious rite vs vigil

religious rite and vigil both are nouns.

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

As nouns, vigil is a hyponym of religious rite; that is, vigil is a word with a more specific, narrower meaning than religious rite:

religious rite: an established ceremony prescribed by a religion
vigil: the rite of staying awake for devotional purposes (especially on the eve of a religious festival)

Other hyponyms of religious rite include watch, last rites, orgy, circumcision, liturgy, office.

religious rite (noun)	vigil (noun)
an established ceremony prescribed by a religion	a purposeful surveillance to guard or observe
	the rite of staying awake for devotional purposes (especially on the eve of a religious festival)
	a period of sleeplessness