The only thing I can suggest, other than the tried and true treatments is Rescue Remedy Cream
@Rarebear will tell you that it’s hogwash, baloney, nonsense and snake oil and he would pretty much be right. There is no scientific basis for it’s efficacy and no science supporting it’s efficacy, but it works for me. Basically, Rescue Remedy Cream is a cream/ointment imbued with the “vibrations” of flower faeries or something like that. Even I know that’s complete hogwash, but it works for me, for burns and other skin problems.
As my mother used to say “There is sometimes a very fine line between actually feeling better and just thinking you feel better.”
Anyway, at least I am not advising you to use homeopathic and alternative therapies to treat yourself for cancer, infections, psychiatric disorders, broken bones, Parkinson’s Disease, heart and kidney failure, MS, etc. that sort of thing..
Bottom line: it seems like a relatively minor burn, I have burned myself countless times on a great variety of really hot things, and no matter what you do, you, like I always have, you will almost certainly recover and go on to lead a perfectly normal life. :-)