This discussion may contain spoilers!
I remember hearing people claim sexism in regards to rescuing Carley in Episode 1 of Walking Dead, but to me the biggest factor there wasn't gender but the fact that Carley had a gun and knew how to use it, which to me seemed a bit more important to everyday survival after a zombie apocalypse than having an IT guy. As well, she was a much more developed character than Doug. Think even Telltale acknowledged they kinda dropped the ball on that one.
Here there is no such pressing demand. She just needs money to avoid getting in trouble with her pimp. We barely know her, she has nothing useful to give us, and there is nothing pressing about the decision for Bigby himself. As far as he knows, his life will continue on the same either way, only with him being momentarily broke if he hands out all his cash.
And yet, what is it, 90% still who chose to give Faith money? Would the percentage be anywhere near as high if he had been a fat old man rather than a smoking hot young woman?