Then Tanya has three and a half hours to herself. She would like to take notes but should probably conserve her paper, so - thinking it is.
Unfortunately, thinking for a long while fails to come up with novel insights. She still knows essentially nothing about this world. What the local technology and magic can do, how the local societies and polities and rules work, what people here have and what they want, how to decide who to trust. She has essentially no idea what she can or should aim for, and this whole trip to the surface is premised on the idea that she should wait until they're there before learning that. If translation magic on the journey going to be one-way only Tanya can't exactly question Belmarniss on the way.
She trusts Belmarniss because - she's the first person she met, which is silly; and she's the only person so far who both could and would talk to her, but she hasn't tried that many people; and when she decided to allow her associate cast an unknown spell that paid off (in a way Tanya could not have predicted). The problem is that trusting Belmarniss means trusting her advice not to trust other people. So Tanya doesn't really know what options she's discarding by leaving the city, how dangerous the route is or how difficult it might be to come back.
She doesn't entirely understand why Belmarniss trusts her, if this society defaults to mistrusting strangers. There's no reason for Tanya to attack Belmarniss and she will need her help to communicate on the surface, but that's not the same as trusting your life to a stranger who might decide to save herself instead of helping you in a fight. She needs to ask Belmarniss why she wants to go to the surface and what she plans to do there and how long she plans to stay. Was she about to go anyway (alone?), was meeting Tanya a happy accident for her and is that why she was eager to suggest that Tanya should go 'upstairs'? Could she not find anyone to go with her before now, and if so why? She implied she doesn't want to join a raiding party - no, she didn't say that explicitly, that's just Tanya's interpretation (obviously nobody sane wants to be a raider if they have a choice!)
Eventually Tanya sits back down against the door and lets her mind wander, but she doesn't fall asleep again.