batter vs baseball player

batter and baseball player both are nouns.

Word	Noun	Adjective	Verb	Adverb
batter	Yes	No	Yes	No
baseball player	Yes	No	No	No

As nouns, baseball player is a hypernym of batter; that is, baseball player is a word with a broader meaning than batter:

Other hypernyms of batter include ballplayer.

batter (noun)	baseball player (noun)
a liquid or semiliquid mixture, as of flour, eggs, and milk, used in cooking	an athlete who plays baseball
(baseball) a ballplayer who is batting

batter (verb)	baseball player (verb)
make a dent or impression in
strike violently and repeatedly
strike against forcefully