Not on a champion.
It's rather impossible to maintain the notion that some character is a badass while simultaneously putting said badass in the position where they are completely worthless and entirely reliant on another to save them. The real kick in the teeth comes when one realizes that the person who saves the badass is supposed to be somewhat comparable in terms of ability, which would be the case for many champions. If that were truly the case, the first badass either never would have been captured, escaped on their own, or done enough damage during their capture and holding so as to facilitate their rescue.
Of course, at that point you aren't discussing the Damsel in Distress trope anymore. Otherwise, the person of similar ability that comes to save them is going to be equally worthless without a lot of hand waving.
Never mind ethical issues, it's not logically cogent. An illogical story doesn't have a lot of potential to be good.