faith healing vs faith cure

faith healing and faith cure both are nouns.

Word	Noun	Adjective	Verb	Adverb
faith healing	Yes	No	No	No
faith cure	Yes	No	No	No

As nouns, faith healing and faith cure are synonyms defined as:

faith healing and faith cure: care provided through prayer and faith in God

faith healing (noun)	faith cure (noun)
care provided through prayer and faith in God	care provided through prayer and faith in God