Is it possible to be a good debater and is there any point trying?

Is it possible to be a good debater and is there any point trying? This school year, I joined my school’s debating team, and while I do ok with a script, if I only have points/ I’m suddenly challenged I get the feeling in my throat that I’ll stutter, then I just physically cannot speak. It’s been affecting my performance and I’m honestly thinking of just quitting, what’s the point of debating when you literally can not respond? I’m just extremely frustrated and defeated now.