The Collaborative International Dictionary of English v.0.48:

Bullfight \Bull"fight`\, Bullfighting \Bull"fight`ing\, n.
   a sport of great antiquity, in which men torment, and fight
   with, a bull or bulls in an arena, for public amusement, --
   still popular in Spain, Portugal and Latin American. In the
   Spanish version a matador kills the bull with a sword after
   the bull has been weakened by wounds from small barbed rods,
   and after he has displayed courage and artistic skill in
   causing the bull to charge many times while he stands still
   or nearly still. In some versions the bull is not killed.
   Occasionally the matador is wounded or killed by the bull. --
   Bull"fight`er, n.

   Syn: corrida.
        [1913 Webster +PJC]

WordNet (r) 3.0 (2006):

bullfighter
    n 1: someone who fights bulls [syn: bullfighter, toreador]