She completed whatever they asked for.  Why not?

A thank you email was sent back, saying it would take anywhere for one to four weeks to be approved. Then your cellphone rang.

"Hello?" said Levi.

"Hello, my people have said you put in a request to visit Themyscira," Wonder Woman said.

"Yes," said Levi.  "I've been thinking about it, and I think it would be a good chance for me to study and learn, and it might also help me understand how to deal with Luthor's new employees."

"You could have just asked me. I'd be happy to give a colleague a tour of my homeland," Wonder Woman said.

"Oh!" said Levi.  "Sorry, I just got caught up in doing it the 'correct' way, I guess.  I didn't want to bother you with something like that... I know you're busy."

"It is fine, don't worry about it. Just let me know when you'd like to go," Diana said.

"I will," said Levi.  "Sometime soon, I think.  I'd like to understand more about Amazons, and I probably need to pretty soon here."

"I have the day off tomorrow if you'd like," Diana said.

"Sure!" said Levi.  "Thanks-- that would be great!"

"Would it be easier if I picked you up at the Metropolis airport?" Diana asked.

"That's fine," said Levi.  Diana's plane, after all, shouldn't just fly around randomly.

"Good. I am looking forward to it. Now, if you will excuse me, I have somethings to attend to," Diana said.

"Of course!" said Levi.  She began to work on a packing list.  Sure, she might not need even a change of clothes, but things could go wrong...

(OOC: Just give me a general idea of what you're taking)

She took a change of clothes, her phone, a tablet in case something came up, and a few assorted personal supplies in case she needed to stay a night or two.  You never knew on these trips.

And her rocket belt, of course.

You were able to get packed quickly. There was a quiet knock at your bedroom door.

"Yes?" said Levi, opening the door.

There appeared to be no one there, but there was a light tapping on your shin. It was pinchy. He motioned for you to follow him and began to hurry away towards the kitchen.

Odd.  Levi followed, wondering what was going on.  Had Nahtai managed to burn water...?

As you get closer, you hear Nahtai's voice.

"I did this absolutely correctly and sister will be happy to see."

Oh, dear.

"What happened, Nahtai?" Levi asked, looking over the kitchen.

It appears that jars of Nutella and peanut butter have exploded and the chocolate Nahtai appears to have tried melting is currently smoking. She looked over at you.

"Oh good, things are going well."

"Well, it's a mess," said Levi, indulgently, "but it's not too awful.  I'm not sure what you did to the jars, but the chocolate is an easy mistake to make.  If you want to melt chocolate, you have to use a special trick.  After we get this cleaned up, do you want me to show you?"