After pushing open the window, Jiang Baimian propped herself up with her hand and jumped out. Then, like a spider, she quickly moved to Room 214's window using the protruding areas and water pipes on the outer facade thanks to her amazing balance.
She almost fell during this process because she was still carrying Chaotic Right Hand. Her muscles experienced a certain level of frozen stiffness, making her less agile and natural.
Fortunately, her biological prosthetic limb suffered relatively weak influence. She stabilized her body in time by exerting the needed strength, preventing her from plummeting from the second floor.
Although she wouldn't be gravely injured even if she really fell to the first floor from that height, it would definitely cause her to miss the best opportunity to deal with Room 214's guest. That would be a huge problem.