Whether or not a woman coach could manage the men's national team and understand the differences between the two levels of the sport could be debated all day long.
What isn't up for discussion is the enormous pressure she would be under from all angles and from day one.
If coaching was as simple as getting a message across, I could supposedly manage England because I coached Longhill Ravens for 11 years and they generally followed my instructions and we punched above our weight for around 8 of those years.