Clara's hand is burned in the shape of letters. Because we can see in another shot that the letters were etched into the metal, this means that when she picked up the remote, somehow she was only burned where she was NOT touching the metal.
When Clara comes to inside the TARDIS, she is under a piece of debris. She makes a big show of how heavy it is as she moves it off her body and it clangs loudly as it falls against the wall. Seconds later, she inadvertently bumps it and it flutters away gently, revealing that it's probably made of Styrofoam.