Ram the doors at full force.

She looks about herself. Nothing but yandere women everywhere. Placated for now, but one missed step away from erupting into a full on rape fest.
One of the mental patients winks at the Faux Genius.

That is all she needs to galvanize her resolve. She has no intention whatsoever of staying any longer than she has to. If that means breaking through the barricades with her own bare hands, then so be it.
Who knows? It might just be crazy enough to work.
Her head certainly is hard enough.

She moves back, bracing herself for a running start...