pursuer vs doer

pursuer and doer both are nouns.

Word	Noun	Adjective	Verb	Adverb
pursuer	Yes	No	No	No
doer	Yes	No	No	No

As nouns, doer is a hypernym of pursuer; that is, doer is a word with a broader meaning than pursuer:

Other hypernyms of pursuer include actor, worker.

pursuer (noun)	doer (noun)
a person who is pursuing and trying to overtake or capture	a person who acts and gets things done
a person who pursues some plan or goal