shaman vs non-Christian priest

shaman and non-Christian priest both are nouns.

Word	Noun	Adjective	Verb	Adverb
shaman	Yes	No	No	No
non-Christian priest	Yes	No	No	No

As nouns, non-Christian priest is a hypernym of shaman; that is, non-Christian priest is a word with a broader meaning than shaman:

shaman: in societies practicing shamanism: one acting as a medium between the visible and spirit worlds; practices sorcery for healing or divination
non-Christian priest: a person who performs religious duties and ceremonies in a non-Christian religion

Other hypernyms of shaman include priest.

shaman (noun)	non-Christian priest (noun)
in societies practicing shamanism: one acting as a medium between the visible and spirit worlds; practices sorcery for healing or divination	a person who performs religious duties and ceremonies in a non-Christian religion