I've gone to ERs in various locations for migraines, a high temperature for my daughter, hives for my daughter, ruptured uterus, broken bones, inflamed gall bladder, UTIs for the myself and my child when she was younger. When there was a possible danger, I was seen quickly. So, my daughter's high temp and her hives, my uterus and gall bladder were seen within 30 minutes and the problem resolved as quickly as humanly possible. When I've gone in for migraines or broken bones, the wait has been anywhere from 30 minutes to 12 hours.
Was it the staff's or the nurse's or even the doctor's fault? Nope. One time, the doctor was in the middle of examining me when 3 ambulances arrived. Should he continue worrying about my broken wrist when people were possibly dying? I hope not. I was in pain but I could wait.
When I went to TVRMC for my gall bladder, the waiting room was pretty empty (3 patients). However, as I was being wheeled to my exam room, I saw the ER was actually extremely busy. I was in the last available exam room. Even with all of that (at least 3 heart attacks, one patient completely disoriented, someone bleeding profusely and an ambulance bringing in another patient) and waiting for test results, I was still in surgery within 3 hours.
I was truly impressed with the staff both in the ER and in the ward. I have no clue what happened in recovery (I was truly out of it). Yes, bad things happen even in the best hospital and by the best doctors. One bad incident can easily sour you on something, but it does help to look at the whole picture as much as possible.