How long did you leave it in cold water? The main problem with burns is that they burn for a LONG time AFTER the fact. If it feels warm at ALL, then it is still burning deeper within the skin. I know this happened yesterday, but you should check for any warmth.
I just took a First Aid course a couple months ago and we learned that you are actually supposed to place the burned body part in a bowl/tub of COOL (not cold) water rather than just running water on it. And it shouldn't be ice cold so that they can't keep the body part in the water. So, cool, but not cold. And you keep it in until there is no more warmth to the skin. In the case of serious burns, this could be 20-30 mins. or more. If you apply any ointment before the burn has cooled completely, it can make the burn worse.
I am glad you have an appointment booked with your doctor! I hope you little one gets better soon!
Tofie ~ mama to DD1, DD2 and Pookie v3 debuting December 2011
Oh my God....women are the COWS of PEOPLE!! --Reese, Malcolm in the Middle