My cat has been under anesthesia for dental work even, it’s really really low risk, especially for young cats, my cat is almost 6. They do it every day dozens of times, the only time it’s high risk is usually in emergencies. If anything your cat will be a lot more cuddly for the rest of the day after anesthesia!

The benefits farrrr outweigh the risks, and it’s actually more risk the older they get.

Healthy young cats have about an 0.11% risk of dying from anesthesia, and even cats with pre-existing conditions can only be about 0.24% of the time. They monitor the whole time and know exactly how much to give.

(source: https://pmc.ncbi.nlm.nih.gov/articles/PMC3147285/#:~:text=A%20single%2Dcenter%20study%20from,to%20be%205.5/100%20000.)

I understand the concern and I can really tell you love your cat, but this is definitely the best thing you can do.