Another thread where most people rather pick someone's post to death, be rude and just disagree to disagree because it is a negative Disney experience post.
It seemed to me that the OP was not unsympathetic to the CM's illness but was irritated due to the wait and not being told in a timely manner. And I don't think expecting common courtesy from the other cast member(s) in the area who were not sick (like being notified before 30 or 40 minutes of waiting or expecting a little bit more of an apology or help to diffuse a disappointed reaction from a child) is in any way whatsoever indicating they feel more "entitled" in the sense that posters in this thread are making the OP out to be. It was clearly an unfair way to treat a guest and very bad customer relations as the situation was created by the CM (sick or not) not by the OP. I would have been irritated even if my child had not been crying as it is time out of my day that could have been spent doing something else. CM's should be trained to handle situations like this as they are bound to happen and after all Disney is all about atmosphere, experiences and above and beyond customer service. They advertise it over and over again.
To all the posters who don't think they are "entitled"...the next time you are at Disney and a ride breaks down and they try to hand you a fast pass, a CM offers common courtesy such as a smile or holds a door open because your hands are full of luggage, a CM tries to do something special just for you like upgrade your room or before you take a birthday pin and display it so that folks recognize YOUR personal special day...just reply and say "oh no, I don't need that...after all I'm not entitled to receive any special treatment at all, I'm just like anyone else here who is not receiving this treatment and I refuse to accept anything I'm not entitled to".
OP...in response to your question...my personal experience during recent trip: As wonderful as I think Disney still is... it still seemed to me that at least 50% of the CM's across the parks and resorts that we came in contact with seemed more stressed this trip...not nearly as friendly and downright lackluster. Maybe it is just a stressfull period in America for a lot of folks. I don't expect everyone to gush, but a smile here and there would not have hurt. I didn't have any incidents or disappointments that stood out that I would have complained to a CM about (except terrible housekeeping service)...but we did leave thinking we had enough of Disney for a few years.
The CM could have handled your situation better; don't they go through training on how to help diffuse a situation that was no fault of the customer? I suspect if they had come out earlier to let you know your little girl would have been fine and not had a melt down after she so patiently waited..but after a child waits that long it would be expected they would be upset. They should have been prepared when they broke the news. This CM just didn't care, didn't want to get involved or was too wrapped up in their own world to read the situation and you were left to deal with an unhappy child.