The city lord was far worse choice if you follow the story, Tata doesn't really know he is after her, just she had to find a way to earn money fast or they're dead, this isn't easy decision. Lord doesn't care what she does, by sending thugs shows he is getting impatient and wish to claim inevitable.
Fake debt isn't something uncommon, far easier back then and not really hard even now, just borrow any sum from usurer and your ass is theirs.
She isn't a slut, doesn't take pleasure from sex, it's degrading to her as she clearly expressed it lower her status of a decent human. If she was actually taking pleasure from it, wouldn't care about her living a normal life.
You're all darn stupid to not take pity over Tata, only a forever virgin incel use "used goods".