I do see where OP is coming from and think their position has some merit in principle, but I think they're overlooking some of the particulars in this story. (Based purely on the anime.)
First, escape is not an option yet. She doesn't even know where she is! She has no weapon, no supplies, no idea which way to go, and there's dragons out there. At one point, she's surprised by how much freedom she's given, suggesting escape is still very much on her mind as something she might have to attempt.
Second, she really has no reason to care about her home. The only thing she ever brings up is a sense of duty; her peers and family ridiculed the thing most important to her identity, but those same warrior skills are what is valued here. I feel like that goes a long way towards recalibrating this as a rescue, not a capture.
Finally, I'd say the majority of historical fiction with female leads tends to be about how women make the best of the situations they're in, no matter how much stuff is stacked against them. And it's also pretty common to see negative reactions to that from people trapped in a more modern mindset; they're thinking about what THEY would do in that situation, and not what someone with this specific background would choose. It can help meet a series halfway if you stop trying to self-insert. (I don't mean this as a specific accusation against OP, just a general observation about common complaints of this time.)
