A PL club should not be the first club to appoint a woman, it sets them up for failure as they will not have the qualifications to do the job.
Even former star players with a full career playing in the PL go to lower teams to learn the game first. That is exactly what a woman who wants to manage in the PL at some point should do.
While there are similarities between mens and womens football there are a lot of differences as well. People have concerns about bringing in ETH from Ajax because of the Dutch League how can we realistically talk about bringing in someone from women's football when the greatest womens team would get destroyed by the worst Eredevsie team.
Why are people conflating playing and managing abilities?
I am not for one minute suggesting we should hire a woman manager just to be the first to do so. BUT if she were the best candidate then just hire her.
devils advocate:
Joan Doe as manager has won the NWSL 3 times on the bounce with 2 different clubs and then the women’s world cup.
Do you pick her or Scott Parker? Ceteris Paribus.