I like this character idea--a lot. I especially like the idea that the character insists upon staying enslaved because that makes it all matter. It sounds like the kind of thing that really does happen to exceptionally broken people, like the guy who was stuck in an airport terminal for over a decade because of visa problems, and who now resists leaving even though he's been offered everything he needs to enter the United States. The character idea takes it to a Sueish extreme, but even Sueish character concepts can turn out cool in the hands of good players.

But if you're going to present the game with a character whose problem has an easy fix, you have to expect the other characters to try to fix you. That's what characters /do/. If you're good, you'll build in a failsafe: Character is bought out of slavery, becomes a hooker in her own employ. But if you don't do that... well, don't bitch because the rest of the game universe reacts in exactly the way anyone could have told you they would.

If your character could fix her then that means in some way, what she currently is, is broken and I'm wrong as her player to thwart you.

There is a hiccup in logic in here. Maybe two or three.