He's not supporting her!! That would be illegal!! Even though that's almost exactly what he's doing by not arresting her, by the words he's tried to soothe her with. Those are not the actions born from zero support.

"That's why Bodhi is in the medical profession, not me." She didn't even want his help, she doesn't get nice bedside manner. He isn't sure he likes the idea of being attached to her so readily with this endeavor, but at the same time he'd rather her not bleed to death. At the very least Bodhi would be sad. "I only know basic first aid, not much more than what I handled today."