For heaven's sake. All you folks giving the doctor a hard time (and I'm talking to you
RobotDoctor and
ldsant 
) should frankly go and spend six years in medical college.
Of course the Doctor helped the sick child. Of course s/he didn't stop to think before doing so (despite the rise of malpractice suits in the US). But it's still a job. And s/he was not at work. So the very least the UA Purser should have done was slipped him/her a couple of SWUs on the way off the plane. It's just a question of manners. Not expectation. Not payment. Just manners.