The ships that appear are huge, probably built in space, made for aesthetic sensibilities not as alien as they could have been. On board they start checking whether the system is a template.
Observers of the traditional forms will call her by her full name (Ling Wen) rather than just one of those. Magical girls traditionally present themselves to the court and its functionaries in costume; non-magical girls should simply dress formally for their native culture (in the modern day a business suit for men and a complicated bunch of nonsense for women will do for people from anywhere but it is also totally fine to show up in traditional costume if you are less than 100% westernized). Present any objects you're handing over with both hands. Bow a little - a bit of a nod will pass these days but full-on three-bows-from-the-waist are not overdoing it. Don't make direct eye contact, look down.
They... do, actually, care a little about not doing anything that might lead to them crawling back to Vanda Nossëo to beg for healing, even when not trying to impress Amentans. But Relu has actually gotten vaccinated against a lot of standard Earth diseases (a lot of them have; it seemed better to give the Peal's healers less leverage) so if they can just confirm that this world’s diseases are about the same Relu can go with just a big backpack full of stuff and see about getting an appointment. Can that be done online at a public library?
Yeah, that’s one reason Zatar's not going. It’s not clear if Relu's occlumency is any good yet but it is clear how expendable she is.
Relu can't just put herself on Ling Wen's calendar, but she can fill out an online form. There's a dropdown menu for meeting purpose (application to become a magical girl, matters of state, etcetera) and various identity questions and a summary of the agenda items you have in mind and what kind of availability you have and so on.
Her availability is all of her waking hours which are expected to be like so, and her agenda is that she has information that may be relevant to the decisions surrounding the magicking of some future girls and possibly a business proposition for the empress, and her identity is. Uh. She has a name.
...She’s currently located in China because it’s close to the Empress and that’s as close as she’s going to get to a correct choice.
...Okay, fine, she’s from China, every associated dropdown menu gets the first answer, and any free response fields get "actually I’m from a bronze age kingdom you’ve never heard of and have no paper trail this century" if it will fit.
She doesn’t have a return address. Just this email she could get in a couple minutes.
She writes home for a pickup. She goes somewhere that doesn’t look like it’s being watched.
She takes a picture and gets a ride home. (And hangs out in Nelen's room because it would be frankly embarrassing to start a virgin soil outbreak among the Sesatis when they already went to all that effort.)
Inanna checks if there’s been any mail sent to Ling Wen lately, and if so where exactly it was delivered to. Is there perhaps an accessible mailbox?
Eventually they figure out how to send a letter. They copy the salutation off a template on the local internet.
I wasn't able to use the online form to request a meeting. I haven't interacted with modern governments much and don't have a real return address; this one is fake. I do have an email address.
I have information you need, and a business proposition. I don't want to commit it to writing. It concerns the possibility of eventually eradicating witches.
And the letter provides an email address to send a reply to.