Totally understandable, BUT this is a case where you truly must learn to see beyond the next year (yes, YEAR!) or so and think about the entire rest of your life. Believe me, we all understand how difficult and frustrating it is to serious athletes to be sidelined with injuries but I promise, in the big scheme of things taking 6mo or even longer off to heal an injury isn't the end of the world.
Make sure you get very clear instructions from the doctor on what you can and cannot do, and if possible see a doctor with experience in competitive gymnastics or at the very least other intense youth athletics, as they will have a different understanding on recovery will need to be like for an athlete vs your general teenager.