I'd take her and shelter her in my home, and then call the police as soon as I got there.
This sounds like the beginning of many a movie.
Am I now in a movie?
Does she have super mind powers?
Is she a Terminator?
Am I/ is she the hope for the future?
If so, then...
As I lay her down on the couch and go off to find her some clothes, I hear a crash from the front window.
I rush back to the living room, and see an assassin standing over the girl.
I grab the nearest blunt object, and get the element of surprise on him. In the ensuing fight, he bests me, but I give a good fight.
Right as the assassin is about to strike a killing blow, there's the sound of a gunshot, and he topples off of me. The girl is standing over me, having woken up, holding his sidearm.
Then the opening credits roll.