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 male celebrity can literally beat his girlfriend half to death and still enjoy a successful career with millions of adoring fans
a female celebrity can gain a few pounds and she’s shunned, mocked, and ridiculed by thousands of people over many different mediums
do you see the problem with this
a female celebrity JUMPS INTO THE OCEAN TO RESCUE HER CHILD AND NANNY
and is mocked and ridiculed for a wardrobe malfunction