"I meant no insult!" Dodge ball of lava. "I don't intend to interfere, you said no!" Dodge house-sized spear of ice. "I'm leaving peacefully, okay, so stop tearing up the tile!"
"You'll respawn at home. No permanent damage. You interrupted an important meeting, you need to learn a lesson about territory, mountain bitch." Dodge- no, fail to dodge a thrown tree, and then another ice ball. The next sphere of magma is what destroyed that form.
She wakes up, stripped of all her tools and enchantments and even clothes, and groans in pain.
"Can I have you go over the list when I am done with it? Are other countries less annoying about this?"
"You can. Most countries with an economy to speak of have more-or-less imitated the US there, EU countries being somewhat stricter, and Japan being strictest of all. Some countries don't have any regulations at all, but those are mostly feudalistically dominated by parahumans and regulations are a mess in general."
...She probably should tell him. It might be a bad idea to spread it too far, but it's not like she's been keeping it a closely guarded secret. "Okay, next thing you should know. I am from an entirely different world. I appeared during the Leviathan attack on Japan and fought it, then Alexandria brought me to America. I don't know this place's culture and traditions and I don't know if I even officially exist. Is this going to be a problem?"
"Not officially existing is par for the course when it comes to capes, new ones are appearing all the time and the government doesn't require you to associate your real identity with the cape one. You will have to register an official identity as part of the process, but that shouldn't be a problem."
Then lunch, then back to large scale deflooding and repair work. She doesn't get particularly friendly with the two capes assisting her, but she does learn the exact extent and speed of their powers and changes how she rebuilds things slightly to compensate.
She hopes they don't mind or don't notice the subtle creativities she squeezed into the work. Faint patterns in new stonework, shoring up foundations beyond stated specs, and so on. It helps her stay focused and interested because knowing you're doing good is only so compelling.
But if they insist, alright. What interesting stuff is there to do in semi-demolished Japan?
She's not really familiar with this place, this world, so she wants to explore. But not having any Yen at the moment and being unwilling to ask for some unless it's offered precludes her from doing some of these things. She'll walk around a park out of costume, wearing her translator. She's absorbing some Japanese just from the hearing both Japanese and its translation into Valecana, maybe she can practice it and chat to passersby.
She... Tries to say something equivalent to "Sorry to bother you. I have been learning Japanese and want to see how well I am doing."
Again, more carefully, paying attention to getting the word order right, "I am trying to learn Japanese."
The Japanese word for Mountain, or her original name? Original name, to avoid confusion. "I am Jeda. Nice to meet you, Kyou-san." Much of her phrasing is likely to be excessively formal, given who she learned it from, but she's figured out the most common titles at least.