Aloe is a very good suggestion and if it still smarts you may consider Polysporin (the formulation for burns).
Yepp, while in orientation, the trainer could not stress enough to us that we should never call the portables "laptops". And to always recommend using them on a hard level surface. I've gotten quite a few calls actually about a certain model. The entire case practically acts like a heat sink.
I wouldn't be too worried about long term scarring there Leolaia. You'll probably see it slowly going away. Take care.