shame vs odium

shame and odium both are nouns.

Word	Noun	Adjective	Verb	Adverb
shame	Yes	No	Yes	No
odium	Yes	No	No	No

As nouns, odium is a hyponym of shame; that is, odium is a word with a more specific, narrower meaning than shame:

Other hyponyms of shame include humiliation, obloquy, opprobrium, reproach, cringe.

shame (noun)	odium (noun)
an unfortunate development	hate coupled with disgust
a painful emotion resulting from an awareness of inadequacy or guilt	state of disgrace resulting from detestable behavior
a state of dishonor

shame (verb)	odium (verb)
surpass or beat by a wide margin
cause to be ashamed
bring shame or dishonor upon
compel through a sense of shame