At the end of The Pyramid at the End of the World Bill learns that The Doctor was lying and is still blind so she rushed back to the Alien Monks and confirms that they can restore his sight and giving them her consent to rule the world (she represented The Doctor who at the time was President of the World).
The Monks killed anyone who didn’t give consent out of love, and we see Bill survive, which means behind her consent there was love.
It was my impression that Bill is a lesbian, especially from what she said in Knock Knock
Paul: Just if you need any er, of my help, or my whatever, you know?
Bill: Yeah. Er, I get that you’re into me, but, um, sorry, you’re not my type. It’s just, er I tend to go for girls, usually, so
Paul: Oh. Oh, right! I was never in with a chance. Awesome!
So what was Bill’s love? Is she actually Bi or is love in this case not in the romantic sense?