bullfighter vs matador

bullfighter and matador both are nouns.

Word	Noun	Adjective	Verb	Adverb
bullfighter	Yes	No	No	No
matador	Yes	No	No	No

As nouns, matador is a hyponym of bullfighter; that is, matador is a word with a more specific, narrower meaning than bullfighter:

bullfighter: someone who fights bulls
matador: the principal bullfighter who is appointed to make the final passes and kill the bull

Other hyponyms of bullfighter include banderillero, novillero, picador, torero.

bullfighter (noun)	matador (noun)
someone who fights bulls	the principal bullfighter who is appointed to make the final passes and kill the bull