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The Jedi are against starting a war without the consent of the people that will actually suffer the consequences of that war.
At least when it’s not one of them on the line, anyway.
The thing is, if any of then gave a shit, they’d have her free shortly after leaving, without attacking anybody.
They can’t save everybody everywhere, but as you say, they could have used stealth to save people where they can without starting a war.
Even acting stealthy would probably be known if they do it often enough. This would stain their reputation as neutral peacekeepers and hamper their ability to prevent conflict between worlds, even if it means not maintaining societal peace within a planet. There could be interesting arguments for saying that this kind of compromise is or isn’t moral. If you want to write an essay about it as a response, be my entertainer :p
This kind of thing is why I’d expect there to be more “chaotic good” force users out there that act independently of the Order, instead of every rogue Jedi being super duper evil. Maybe Anakin wouldn’t have gone full evil if he’d had a less strict group to go to. It also would have made it harder for Palpatine to wipe them all out.