I Burnt The Bottom Of My Foot By Standing On

I burnt the bottom of my foot by standing on a hot curling wand for approx 3/4 seconds by accident, the skin is now white and I'm in a lot of pain, cannot walk on it and the pain has not stopped since it happened an hour and a half ago, I've put it on ice which is soothing the pain and put it under cold running water for the first half an hour after the burn happened, do I need to go to the hospital or just continue icing it?

Thanks in advance,
Marie