"Kinship might be a bit of an exaggeration, but we certainly have similar abilities. My people just calls it 'contact'. Every species with telepathic abilities calls it something different. Now, if there's anything you don't want me to see, just imagine a closed door, I'll not enter."
While the Doctor always gave that suggestion to others, he often times forgot to do the same for himself. As such, with fellow telepaths, they can sometimes get more information about him than he strictly desires. And well, the images are a bit fast - blame it on his enthusiasm for finding another pure telepath.
One thing is clear: The Doctor has lived a very long time - not all of those years were good. She might see some images from the Time War.
But she might get the sense that there are sort of two timelines where the Time War is concerned: one where the Doctor destroyed Gallifrey (his home planet) and one where he saved it.
I'll let you decide what he specifically learns about her.
While the Doctor always gave that suggestion to others, he often times forgot to do the same for himself. As such, with fellow telepaths, they can sometimes get more information about him than he strictly desires. And well, the images are a bit fast - blame it on his enthusiasm for finding another pure telepath.
She might see a rapid succession of his various faces. And then His companions. Maybe some of his enemies.
One thing is clear: The Doctor has lived a very long time - not all of those years were good. She might see some images from the Time War.
But she might get the sense that there are sort of two timelines where the Time War is concerned: one where the Doctor destroyed Gallifrey (his home planet) and one where he saved it.