Kate O'Mara's Character in the Thirtieth Anniversary Special of Doctor Who is the Rani. How do I know this?
Evidence[]
The official Doctor Who wiki "TARDIS Data Core" cites Kate O'Mara's character as the Rani[1]. So does the Wikipedia page for Dimensions in Time. Plus the character acts exactly like the Rani would.
Plot to kidnap lots of things.[]
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.
Eastenders[]
The Rani had merged Eastenders' Universe with the Doctor Who Universe. Something the Rani would be very much inclined to do.