wrath vs deadly sin

wrath and deadly sin both are nouns.

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

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

wrath: 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 wrath include mortal sin.

wrath (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
intense anger (usually on an epic scale)