Kate O'Mara's Character in the Thirtieth Anniversary Special of Doctor Who is the Rani. How do I know this?
Plot to kidnap lots of things. Edit
The Rani's plot to kidnap lots of things including the First and Second Doctors sound very much like something the Rani would be inclined to do.
The Rani had merged Eastenders' Universe with the Doctor Who Universe. Something the Rani would be very much inclined to do.