Adrianna estimated that she had crash-landed on the south of the Northern Mountains and Ziu was in the west. Creating a portal wasn't an option in this land. She kept her mind open in order for Mun to find out about her, although she was cautious about Ziu too. If he came to know that her mental shields were low, he would take a second to enter her cell.
The inn was located towards the north and so that meant that Mun must be with her Grandfather. It was impossible for her to send signals to Mun from so far off. Even though she was tempted to go to the north only as far as she could communicate with Mun, but at the same time she didn't want to give any time to Ziu to recover. Time was the essence of the night. So she decided to go to the west to find Ziu.