Some of your pain is due to the air moving across the sensitised nerve endings where the protective epidermis of the skin has been damaged
you can eliminate this sensitisation of the nerves by covering the cooled burn (after you’ve had it under cold water tap for 10 minutes- make sure you time it). You MUST use a sterile dressing. It’s also helpful if that dressing doesn’t stick cos otherwise the pain is worse getting it off again . Gently allow burn to dry before covering though
funily enough cling film can be used for badly burnt patience in first aid when nothing else is around. It is sterile (if you pull off first bit with washed hands, then use a fresh unwound piece) and can stick around the damaged area without sticking to the burnt skin. And can be removed in hospital easily.
I tend to use this even at home- though not very helpful if you’re still trying to get tea togther after the burn AND do NOT use obviously if you are going be anywhere near heat again or chemicals.
in that situation, still cooking, I wind a bit of clean kitchen paper stacked in cold water and squeezed out, around it and stick down with some micro tape,. Sort of works although sometimes I have to repeat it a few times as trying to peal veg with damp kitchen paper wrapped around hand is hard 🤣🤣
Burns are one of the most painful injuries by most research findings - I’m just surprised you’ve never encountered this before , I burn myself at least once a year on oven shelves or iron - my wrist is a susceptible area and am sporting a oven rack rail size branding just now. 🤦♀️🙄
a nurse once told me that the rule of thumb is any burn bigger than a 50p coin should be looked at by the hospital …I guess these days take it to pharmacist first and ask their advice if needs hospital visit.
Ibuprofren or paracetamol are drugs to use to help with pain.