If you ask Gut to talk a bit more privately, she will lead the whole party into her room and you can dispatch her discreetly.
If you ask her for help, you will make her suspicious and your scenario plays out. If you can put to sleep, then you wake up in a cell and a person,sent by someone,you have already met by then, will come and free you.

"We are all stories in the end. Just make it a good one."

Doctor Who