scorer vs scorekeeper

scorer and scorekeeper both are nouns.

Word	Noun	Adjective	Verb	Adverb
scorer	Yes	No	No	No
scorekeeper	Yes	No	No	No

As nouns, scorer and scorekeeper are synonyms defined as:

scorer and scorekeeper: an official who records the score during the progress of a game

scorer (noun)	scorekeeper (noun)
a player who makes a score in a game or contest	an official who records the score during the progress of a game
a logger who marks trees to be felled
an official who records the score during the progress of a game