In that case she can do more Japanese with them.

Yes.

She ends up staring off into space, after a while.

"Kennedy?"

".....Hm?"

"Are you okay?"

"Ummmmm...

"I feel kind of chilly."

Ren puts a hand to her forehead.

Warm child!  Kennedy leans in.

"You feel a bit feverish, dear, let's go back to the hospital just in case."

"Yes, Swan-san."

Back onto the train with them.

On the way, Kennedy reports that she has a new headache, although it takes her a few tries to say the words clearly enough.

"We'll get you seen to, Kennedy, you just sit tight." Can she walk into the hospital?

If she's led, yes.

Into the ER, but with a message to Kodera-sensei, who shows up and talks to some people -

Kennedy throws up.

They get underway with taking her vitals, and if anything changes precipitously -

She's somewhat stable for the moment.  Stably bad, and trending worse, but gradually so.  She keeps trying to say something; it's not comprehensible.

"It's okay to say it in English, honey, if that's easier," says Ren, though that's probably not the problem.

That doesn't seem to help, no.

Eventually they bring in the esper. He's in a wheelchair. He looks old. There's not a single esper on the planet older than seventy but this one looks it.

He lifts one knobbly hand and rests it on Kennedy's ankle and takes away all the physical traces of the last two hours, and his wrinkles get deeper and his eyes rheumier, and his assistant wheels him away to his partner.

Kennedy - becomes much sharper, all of a sudden; she was floppy and fumbling and on the edge of consciousness; now she's not - she would like to bury herself in a Swan-san hug.

Absolutely, here is one fresh off the Swan-san.

She holds it for a reeeeally long time.  But when she looks up, she's not crying.  "...I was right."

"Yep. You were right." Hug hug. "I'm sorry."