unredeemed vs doomed

unredeemed is not a noun while doomed is a noun.

Word	Noun	Adjective	Verb	Adverb
unredeemed	No	Yes	No	No
doomed	Yes	Yes	No	No

As adjectives, unredeemed and doomed are synonyms defined as:

Other synonyms of unredeemed include cursed, damned, unsaved.

unredeemed (noun)	doomed (noun)
	people who are destined to die soon

unredeemed (adjective)	doomed (adjective)
in danger of the eternal punishment of Hell	(usually followed by `to') determined by tragic fate
	marked for certain death
	in danger of the eternal punishment of Hell
	marked by or promising bad fortune