Bullfighting. Is it a sport? If so why is one team deliberately hurt to help the other side?

I think Bullfighting is incredibly cruel, barbaric and cowardly. My question is "Why do people consider it a sport when you deliberately maim one side to help the other? Sports are competitions between teams or individuals to see who is the best at that sport. That's my understanding of it anyway. The picadors place swords into the neck muscles of the Bull to weaken him so the Matador can place another sword into the Bulls heart. That's cheating! You can't remove the quarterback from a football team and make the center hike the ball and p it at the same time. It wouldn't be fair and they certainly wouldn't score. So why would you take away the bulls ability to fight with all his strength. How can you call it a sport when one side has a definite advantage. Yes! The Matador has a big advantage when he fights a Bull who is tired and weakened by treating him as a pin cushion for entertainment. I hate Bullfighting and trying to call it a sport is simply wrong.