Secondly, if this happens again, clean your mouth (properly disinfect it, such as gargling, etc. ), cut and drain pus with a small sterilized blade (choose the incision and incision size reasonably), rinse with hydrogen peroxide (available in pharmacies), and take metronidazole tablets orally with purple liquid twice a day (available in pharmacies). It's done for a few dollars. It's simple. Of course, if the pus is serious, you should call a doctor.
Third, your situation is very common, don't worry.
Supplement: The easiest way to disinfect small blades is to soak them in alcohol for ten minutes. Burning the blade with fire is only used in special circumstances (the carbon on the blade may remain on the wound to form a tattoo, that is, a tattoo), and it is best to use a candle with less carbon!