I'm glad you have an open mind on it; I'll try and explain it the best I can. It is more accurately described as a pay or earnings gap. There is a 9.4% earnings gap between men and women working full-time and a 19.2% earnings gap when you include part-time employment. This is from the Office for National Statistics from 2015. In the private sector specifically the pay gap for even for full-time employees is 17.2%. It is widely acknowledged that the public sector has better gender equality than the private sector.
The earnings gap is NOT the gap between men and women doing the same job. It is the gap between the overall earnings of men and women working either full-time or full-time and part-time combined no matter what job they are in.
The earnings gap is affected by:
1. How there are less women working in better paid career paths such as science, technology, politics etc.
2. How women are more likely to be in lower paid/lower level jobs than men within the same career path/company.
My point is that more women should be encouraged to go into careers in science, business etc. and the women who do or already are should be treated as equal to the men rather than being disadvantaged by their gender. It also shouldn't be so much easier for men to get promoted to top level jobs.
This would be helped if there wasn't discrimination against women particularly to do with having children. In a study, approximately 40% of manager admitted they are less inclined to hire young women who may have children or women who already have children even though this is actually illegal discrimination. This is why women are so often asked about relationships/marriage and children in job interviews. Women are also often not treated fairly if they do work at a company and then go on maternity leave. In UK society, women are generally expected to have children and if they don't they are often told they are "unnatural" or always asked why they don't. If women do have children then they are almost always expected to do the majority of the childcare and housework even when working full-time or to take part-time jobs in order to do that or even not work at all. If they don't they are often told they are bad mothers. This all prevents women from getting to top level jobs and focusing on their careers in the same way that men can. In my opinion, there should be more and better paid paternity leave so that the responsibility for a new baby can be shared between a couple. The man and the woman should do equal amounts of childcare and housework as the child grows up unless one or other of them wants to do more of course. If a women wants to do the majority of the childcare/work part-time/be a stay at home mother then that's fine; it's about having the choice rather than being expected to do it.
Yes, it is probably unlikely that there will be many female managers of male football teams. This is partly to do with equality though because male football players are paid much more and held in much higher regard around the world than female football players and it would definitely make sense to have female manager of a female football team. As far as I can see, there is no reason why women's football should be any less interesting to watch etc. Also, it's not just confined to football. There are much less women than men in top level jobs in science, technology, engineering, business, law, politics, academia, financial services/banking... The list is endless.
Sorry for the essay haha! I hope it's been helpful.