A friend did that once and we soaked her hand in cool water loaded with Aloe. We used the Banana Boat brand which si 98 pct aloe and is geen in color. The next a.m. she had no pain and NO sign of the burn.
The night before she could not stand the ice on it at all it was so bad.
I swear by this BB aloe. I keep it in the house all the time. It has worked on many a mishap with great success. I first found out about it when I was in St. Martin years ago. A native person told me to get it so I would not burn since we were so near the equator and it was very hot. I got a beautiful golden tan with no burn involved.