@eminyan Temper tantrum? Treason? What are you talking about? The country already tried to kill her and she's running to another country in an attempt to stay alive. Not to mention she was never a citizen in the first place. This is WAY beyond simple temper tantrums and treason doesn't even apply here.
The only thing the country knows is that a possibly talented healer exists. That's it. That's like saying that there's a good doctor in the next town over. No country would investigate rumored healers to see if they're a risk or an asset, how in the world would a good healer be a risk to the country? Remember, it's all rumors here, there's no downsides whatsoever if rumors turn out to be false. Her life and death are in question here, what's convenient for the town are not relevant.
The other summoned "saintess" already tried to kill her off already (they left her for dead in ch1), in that conflict the MC also used her magic to attack the soldiers, convincing them that she is evil (e.g. There's motive in addition to the false saintess words now to be hostile to the MC). She's been trying to hide from their notice since then and escape the country entirely before she's found again. The natural extension of that is her instant reaction to jump out the window and run, rumors are good, but being identified leads to a bad end. It's also already established many times over, that she needs to be in the other country to prevent the death of their general. Her going back to the capital now is the most absurd whiplash moment possible, and makes no sense. Even if she isn't in danger of immediate execution (They think she's already dead), she is moving away from the general she needs to save as well as losing all control over her own situation and ability to move freely.
At this point the only thing the country would reasonably know is that there are rumors of talented healer. That's it. There is no real risk to the town she's in, or to herself if she did just jump out the window, the country sent civil servants with an escort, not a military kill squad here. The real risks however do become possible if she does go the capital where people who can recognize and identify her as the evil saintess likely exist. She's simply asking for them to try and kill her again by going back now.
This really feels like the author forcing events that story-wise, would not happen naturally.