What should I do about a burn I got on my leg?

Okay well I was in a rush to get ready this morning and I was wearing shorts as I was doing my hair. I turned my flat iron on the highest temp and about 5 mins later I went to pick it up and it got tangled so when I tried to untangle the wire I accidentally dropped it on my thigh (the part that my shorts DIDNT cover)(just my luck)...I put ice on it and some temporary cream to prevent it from becoming a second degree burn until i was able to get an emergency appointment . i went a few hours later to my appointment and the doc prescribed me an antibiotic cream (SSD is what it says on the tube). I put some more cream on it twice since I got out of the doctor. It's still red of course but it looks way better than this morning and it feels way better. It doesn't even hurt now. And it is bleeding or bubbling thank god. Is there anything I can do to prevent it from scaring and is there anything I should restrain from such as exercising? Cause I want to use my treadmill but im not sure if I should.