I think she is just a human, but honestly I wouldn't be surprised if she did turn out to be Romana or the Rani, there is something slightly strange about her.
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There are male (the Doctor, the Master etc.) and female (Romana, the Rani, Susan etc.) timelords. It's pretty easy to figure out from there.
Kate O'Mara, she is the only actress to play the part of the Rani.
Kareena is taller than Rani. Both are Indian and Bollywood actresses. Rani is a bit shorter than the former.
Rani Mukherji is a pretty model and an actress in India.
No.