Well shes a Lesbian so she would get it on with the female companions lol.
But no I would not want a female Doctor just as much as I wouldnt want a ethnic Doctor not meaning I am prejudice but the character is defined as a white male and outside of parodies like the Millenium special he should be nothing different.
It is just a case of being different to just be different to get viewers watching.
Its just like Romana regenerating into a man, I could not accept it as it changes the character too much.
The Master I could maybe see as a female as his character is defined as changing, and I like in comics the Ultra Humanite from DC.