anger vs deadly sin

anger and deadly sin both are nouns.

Word	Noun	Adjective	Verb	Adverb
anger	Yes	No	Yes	No
deadly sin	Yes	No	No	No

As nouns, deadly sin is a hypernym of anger; that is, deadly sin is a word with a broader meaning than anger:

anger: belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)
deadly sin: an unpardonable sin entailing a total loss of grace

Other hypernyms of anger include mortal sin.

anger (noun)	deadly sin (noun)
belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)	an unpardonable sin entailing a total loss of grace
a strong emotion; a feeling that is oriented toward some real or supposed grievance
the state of being angry

anger (verb)	deadly sin (verb)
make angry
become angry