Even if you get admitted, there are no guarantees. My sister, who has lung problems, was literally almost dead in ICU in a small hospital that had no pulmonologist. The doctors didn't know if she had cancer, serious pneumonia, or what, but there was no one who could even find out what the problem was.
The hospital staff did the legwork to have her transferred, and they were told by representatives from three different hospitals that they had beds available. However, as soon as the hospital she was in faxed the paperwork over and the other hospitals realized she had no health insurance, they miraculously no longer had any beds available. Another sister and I had to jump through a lot of hoops before we were finally able to find a hospital that would take her (we truly were afraid she'd die before we were able to get anything done).
It turned out that the spot that was seen on the x-rays was a hole that had been created by a viral infection (most likely caused by shingles) that wasn't being treated. Had she not been sent home with no help all the other times she had been to the ER, she would never have gotten in such serious condition. Since no tests had been done to figure out what was wrong with her before she was serious enough to be put into ICU (they just kept giving her antibiotics before), she had had this problem for many, many months, and it had just gotten worse. This has shortened her life significantly.