"any idea how dangerous and working a shift in any ER can be? "
Far less than an oil rig in December.  

"Believe it or not women also work in as police officers"
Fewer than men AND they are, in practice, protected to a much bigger degree.

"And how do you know men commute further than women for higher paying jobs?"
There are these things called "statistics".  Usually based off of surveys and polls.