Woman Time Lords can control the way they will look when they regenerate, while male Time Lords cannot. This was established in Classic Who, when Romana regenerated.
Also, the Doctor wanting to be Ginger is not about the hair color. In Gallifrey, the only ones to have red hair were the people called Heroes which were beings who were time-sentient (meaning they could see all of the time at the same time). So I doubt they will ever make him ginger.
A little girl in my 4th grade class came up to me after recess and said, “I got married at recess!” and I said “Oh? I didn’t know anyone was ordained under the age of twelve.” and she asked me what ordained meant and I explained and then she said “Oh, well, no, my wife and I were married by the slide, but we’ll be happy together anyway.”
So apparently on school playgrounds, slides are already legalizing same-sex marriage.