Do you have any mechanisms in place for two-way communication between the hospital and the people booking appointments? Specifically, I'm thinking about situations where a series of individually minor symptoms may collectively indicate something major is going on, but that a layman wouldn't know.
Like let's say that I go on your site and see that I can get an appointment at an ER in three hours, so I book that because I'm feeling slightly off. My symptom description seems innocuous enough - went for a walk in the countryside, right arm is tingling a bit, small red bump on my leg, etc. - but to someone trained in medicine they indicate that I've been poisoned by some sort of tick, and I need treatment ASAP, as opposed to in three hours. Is there a way for the nurse who processes this reservation into the hospital to call me and say "screw the booking, get here now!"?