Is my nose rotting from not being healed properly after rhinoplasty?

Thanks for your question. While this is dramatic, I don't think you have permanently injured yourself. Probably there is a tiny opening in the lining of your nose where you had the hump taken down. When you blew your nose hard, you forced air through the hole which then accumulated under your skin. Your body will absorb the air. You should discuss this with your surgeon, because they may want to put a splint back on to help the skin to re-stick down to the underlying nasal skeleton. They will also coach you about what to do instead of forceful blowing. Good luck!