It is rather interesting that the alleged crime by the alleged attacker happened off-camera, and then the alleged victim declined medical attention. It is conceivable that a very - uh - devoted partisan wished to make Obama look bad, and had this done to her face.
But frankly, that's an even less probable scenario.
I'm guessing she didn't "refuse medical treatment" at all, but the cops wanted her to go to an emergency room. She wanted to go to her own doctor or an urgent care clinic. Or she wanted to meet with her boyfriend/girlfriend/mother, for moral support.