Maybe it could've been fixed, or at least improved, by changing some of the externals - a longer timeframe, tougher conditions, just generally forcing Carmen to
work for her victories here a bit more - but the main reason you're getting this pushback is that it
is a power fantasy, just told from the opposite perspective - it's
Carmen's power fantasy, and the player is on the receiving end of it. That has nothing to do with the logistics of capturing or ransoming prisoners; and in any case using "Well, [worldbuilding]" as the explanation for why the player is hopelessly outmatched doesn't really help since you're the one that did all the worldbuilding.
The game perfectly recaptured, for me, the feeling of being in a D&D game where
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and as the PC party gets railroaded along, they
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whether they're actually the the center of the campaign or if they're just there to be an audience for the DM's favorite character being awesome. Amusingly to me, the game's endings almost perfectly line up with the same outcomes that usually happen when a D&D game goes astray like that - you can either A.) meekly go along with it and hope the DM gets bored with their supercharacter eventually, B.) try your hardest to derail the campaign at any cost up to and including intentionally provoking TPKs (this usually ends the campaign and causes bad feelings all around, don't recommend it!) or C.) the group of PCs, at the earliest possibly opportunity, unanimously just walks away from the adventure in progress, dropping everything, to go look for a different adventure (this is usually the best solution in a D&D game and is the best ending in this game, too).
Now there's nothing wrong with femdom games! That is lots of peoples' kink, and I wish them nothing but many hours of happy fapping and as I said, I cheerfully 100% recommend this game to them. But as presented (especially on this site, where it somehow doesn't even have the "female domination" tag, WTF?) - it dangles the possibility of getting the upper hand on Carmen, only for the player to discover, in the course of the game, that in fact, she is the DM's favorite and you cannot actually do that. I mean, look at the overview in the OP:
Seducing Carmen in any meaningful way (i.e., getting her to actually fall for you, or even let her guard down a little) is not actually possible. Keeping her from escaping is...sorta kinda possible-ish, but there's absolutely no "successfully complete the job" ending. It's that kind of thing that's inevitably going to lead to complaints from folks who are drawn in by the game's excellent presentation but whose tastes lean in a more dominant direction.
