Assuming you could, which I have doubts about, I have years of psychic training. Time Lord minds are well designed for partitioning. I can hide certain thoughts in such a way that it would take a very powerful or very highly trained psychic to notice that they were there at all and break through the mental shields.

That's why when Time Lords are interrogated, historically a mind probing device is used, not a telepath. And before you ask, no, I don't have one here and, no, I can't get or make one.