. Also, The Doctor shouldn't have a love story as it's a betrayal of the character.
This is a completely ridiculous statement. How is the Doctor having a "love story" a betrayal of the character? Sure, the original series didn't focus on that sort of thing, but different eras of the show have always had different foci and features. And the concept is not totally alien to the show since The Doctor had a bit of a romance in The Aztecs. And since he has a grand-daughter one should think he had some kind of "love story" in his past.
It seems to me that this line of thinking grows from the same well that had some classic fans insisting for years that Susan wasn't actually The Doctor's granddaughter, despite there being no evidence to say that she was anything except what she claimed to be, claiming some BS about the Doctor being asexual.
"Canon is only important to certain people because they have to cling to their knowledge of the minutiae. Open your mind! Be a Star Trek fan and open your mind and say, 'Where does Star Trek want to take me now'." - Leonard Nimoy