cursed vs doomed

cursed is not a noun while doomed is a noun.

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

As adjectives, cursed and doomed are synonyms defined as:

Other synonyms of cursed include damned, unredeemed, unsaved.

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

cursed (adjective)	doomed (adjective)
deserving a curse; sometimes used as an intensifier	(usually followed by `to') determined by tragic fate
in danger of the eternal punishment of Hell	marked for certain death
	in danger of the eternal punishment of Hell
	marked by or promising bad fortune