As an occupant of Li Wan City, the headless woman had to know that the hotel was the glutton monster's territory. However, she probably did not expect the ghost to awaken from its slumber the moment that she stepped into the hotel.
Assuming that they were not too far away from their prey, a Red Specter only needed one second to kill a normal person in ten different ways, and that was why she had been so willing to step into the hotel. From her perspective, she would have done the deed and retreated from the scene before the glutton woman woke up. She was unable to match the glutton ghost's strength, but the glutton ghost was definitely going to have a hard time chasing her across town.
