@moialiceme Good for you for pushing through! I literally had the exact same experience, 3mo son was suddenly super fussy overnight, was turned down from the hospital in 3 separate visits on 3 continuous days. Eventually discovered that it was very serious case of bacterial pneumonia, hospitalized and treated immediately.
I definitely felt the same anger that you did at the hospital staff. So much so that I went on the hospital directory to find out their name, picture and contact info. Especially one particular doctor who not only insisted that nothing was wrong, but was so rude she would not get up from her chair to take a look at our son. I also go the face and info of an radiologist who read our x-ray only to conclude it wasn't pneumonia, when it clearly was, resulting in an additional day of delay for treatment. (And an additional x-ray)
But I let that go though, because I believe it happened for a reason. Because our case was so serious by the time it was diagnosed, we were hospitalized and transferred to a different children's hospital. Where a pediatric surgeon saw the xray that was dismissed by the radiologist, and saw a shadow. Which 6 weeks down the line led us to discover something different that ultimately changed our lives.
So if it helps I want you to know that although your daughter suffered because of these doctors, it may have been for the better. Hopefully not in the same as my situation, but just know that maybe it was a blessing in disguise.