Disclaimer: I do not claim to own Naruto. Naruto is owned by Masashi Kishimoto.
I don't know what Amegakure actually looks like, so I apologize for getting anything wrong.
I also don't know the full extent of Pein's abilities besides mastering jutsu and body switching, so I will be making up a few abilities.
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As Hinata followed the strange blue-haired woman, she wondered about what the Akatsuki wanted with her. She had recognized the black cloak with red clouds when they had started the journey through overgrown woodlands but she had yet to say something about it. If they had wanted her dead, they would have killed her already. They probably wanted Hinata to work for or with them. If she joined, she would gain powerful allies but she would also gain enemies. On the other hand, it was best not to make enemies out the Akatsuki by refusing. Strange that she was wondering whether or not to join the organization that was basically out to kill the man she once loved. She knew that his death would just be a side effect of the extraction ceremony, but he would be just as dead.
It didn't take long for the sky to darken and a drizzle to start, becoming a heavier rain as they continued. Hinata must have been closer to Amegakure than she had thought. The heavy metal pipes covering the rundown buildings soon came into visual range. They must less than a kilometer away.
It was poouring by the time they made it to the entrance of the village. A strange statue of a man – or was it a monster? – seemed to tower over them. She was led to the building connected to the statue. In the entranceway a disembodied voice rose up around them.
"Show me what you can do."
"Wh-what?"
"Activate the byakugan" When Hinata seemed hesitant, Konan whispered to her "Do not dare disobey god."
Hinata activated the byakugan before feeling the throbbing pressure in her head again. She was able to see Konan's view of her and a view of the city. The other person talking to them wasn't anywhere nearby, so how could they know what was going on?
"Welcome to the Akatsuki, Hinata Hyuuga."
"I-it's just Hin-nata."
"Very well." And on that note, Hinata entered the building that she assumed was the headquarters of both Amegakure and the Akatsuki.