Oh, heh. well. perhaps it didn't damage it. the door could be made of titanium or something. again, we don't see that the door is damaged sufficiently, and we don't know enough about the powercell to speculate about whether it would.
He can't die, anyway. If he did die, he wouldn't be alive in the future to send his father-to-be back in time to protect his mother, and his mother would be killed by the T1 and he wouldn't be concieved in the first place.
but weren't there two doors, anyway?
Signatures are for fools.