OE

The surgeon worked "methodically" and addressed paramedics "evenly," so his reactions in an emergency would be calm, cool, and in control. "Phlegmatic" means not excitable, calm, and composed, so it's a good fit. "Unflappable" means not easily upset or perturbed, especially in a crisis. "Qualified" is a bit of a trap: he's a qualified doctor, but to say that his reactions were "qualified" would imply that they were limited or restricted in some way. Someone methodical might be "premeditat[ing]" about certain things, but how can a reaction be "premeditated"? He couldn't pre-plan his response to an emergency. "Enraptured" and "enthusiastic" would indicate emotional responses, but, in fact, the opposite was true: he showed little emotion and retained composure.