I can't decide whether that cat is controlled by the school officials, or if it's an after effect of not being able to control your powers. Like you develop them in the wrong way and it backfires that way.
With the synopsis pic and the way the MC is interested/cares in/for QueerRats, I guess they'll play an important role in the show. Like the MC being saved from the cat by a special link with the QueerRats. Side effect would be she has to live outside of the safe limits (outside the rope) as an outcast. Yet she will probably be the one to stabilize the force... I mean make this fucked up world better by stopping the killing of so many innocents.
But it might be too easy.