This was interesting. Her real innovation was structuring the hospitals she managed hierarchically. She made the nurses fully subservient to the doctors, which was not the case before. This was maybe or maybe not good for medicine, but certainly good for the people at the tops of the hierarchies, who celebrated her. Other people who did more valuable work were ignored by the history-writers.
And of course if you learn about Nightingale, you should learn about Semmelweiss too. He is a much more interesting historical hospital manager, and reading about him dispels the other big myth about Nightingale.