priest vs adult male

priest and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
priest	Yes	No	No	No
adult male	Yes	No	No	No

As nouns, adult male is a hypernym of priest; that is, adult male is a word with a broader meaning than priest:

priest: a person who performs religious duties and ceremonies in a non-Christian religion
adult male: an adult person who is male (as opposed to a woman)

Other hypernyms of priest include spiritual leader, man.

priest (noun)	adult male (noun)
a clergyman in Christian churches who has the authority to perform or administer various religious rites; one of the Holy Orders	an adult person who is male (as opposed to a woman)
a person who performs religious duties and ceremonies in a non-Christian religion