Unfortunately for him, she wasn't making her way outside, but down to the basement. While he moves fast, she's quite agile, and knows the structure intimately, taking a route that lets her drop things in his path, to slow him down, as she bolts past. Unfortunately, her illusion remains, which means that the guards in the hallways see someone they know, being chased by a man they don't know, which isn't helped as she cries for help, as she flees down towards the storage cellars below.