Here is how to treat swollen tonsils. The protocol is from Dr Huh Im.
When one tonsil becomes swollen, he recommended applying acupuncture at SI16 ?? with 1 or 2 cun depth so that it can reach the throat. And then remove the needle immediately and have the patient swallow saliva.
When both tonsils become swollen, he recommended applying acupuncture at SI16 ??, LU5 ??, HT7 ??, ST36 ???, KI3 ??, and then both corners and center of the root of the thumb. If the condition is serious, repeating the protocol twice a day is recommended.
Here are some more articles for moxibustion if you may like to read.