Rein's daughter wanted to see other places which were bigger and more prosperous. She had heard many stories about various places that sounded wonderful and she wanted to experience them alongside her dear father. Yes, Rein's daughter Reina was her father's daughter and a big fathercon.
She knew that Rein was a very powerful person, stronger than anyone she had ever seen or read about. So, in her mind, this little hamlet was just not big enough of a stage for her amazing father and that was the main reason why she requested Rein to leave the village with her.