@Darketower A visa doesn't give you carte blanche to do whatever you want, but neither does being the third daughter of an emperor. The princess outright stated that if it's a divine oracle, there's nothing they can do about it, so the nun making up the story that they have to compete to find the culprit isn't something she can rightfully interfere with.
The only person who has committed a crime is the hero, who has tried to kidnap TWO people that we know of, using his alleged authority to do so. Neither the MC nor either of the girls has committed a crime, and they could all just walk away if they felt like it, though doing so would likely doom eyepatch girl.
The cunt hero doesn't have the authority to kidnap random women just because he thinks they're cute, and the third princess doesn't have the authority to force foreigners to cooperate with her unless she has some actual cause to do so, which she does not. The church clearly outranks the monarchal authority in this world, we've been flat-out told this multiple times, and even if it didn't, they aren't her citizens, they owe no allegiance to her or her family whatsoever.
She's not even the first daughter. She's not even realistically in line to inherit anything. Third daughter is VERY low on the pecking order of authority via nobility. So realistically, her only real authority comes from her military position, but that makes this scenario even more of a joke. She definitely, absolutely does not have the authority to do what she is doing, and neither does the hero. She can ASK foreigners to cooperate in her investigation. She has no right, grounds, or authority to FORCE them to cooperate with her. It's been a long time since I've read the beginning of this story, but I'm pretty sure the MC actually got a letter from the king giving him permission to go out and do his thing. So if she wants to try and conscript him, she's potentially starting an international incident. Though even if that's not true, and I could be misremembering, she still has no grounds or authority to be making demands. She's a cunt in a military uniform, not a goddess.