Dr. Foreman: You really want to screw Whitey? Be one of the few black men to live long enough to collect social security. Take the medicine.
Dr. Cameron: He's not clotting properly; it looks like a mild case of DIC.
House: Well obviously not that mild. If this keeps up his hand is literally dead meat. His hand is connected to his arm; his arm is connected to... I'm not sure, but I bet it's important.
Answer: She would have No Reason to know it belonged to the CIA. If she did know he went off in the helicopter, all she would know is that it wasn't an ambulance helicopter.
Greg Dwyer