Aren't nursing and teaching essentially 90% female?
In character the job of a proffesional nurse these days is not much different from that of a physician so gender differences are probably less of an issue than class. Nursing for a long time was simply a 'women's only' job, by cultural norm rather than free choice. Male nurse rates are actually rising pretty fast.
Early childhood education is over 90% female teachers. Primary school education is 70%-95 female teaechers. Secondary education is 60-75% female teachers.
Source: https://stats.oecd.org/Index.aspx?DataSetCode=EAG_PERS_SHARE...
I don't know Florence Nightengale has to do with this discussion.
As a percentage of new nurses it is true that more males are going into nursing, but many of the traditionally male working class jobs have disappeared in the United States. This alone could account for the increase in male nurses over the last 10 years, though I do think it is also cultural to some degree. The numbers we are talking about are like 15% of new nurses being male instead of 5%. I would be surprised if this growth doesn't level off in the next decade and hold steady for decades to come.