I do have one chart that shows a little bit more disaggregation. As I mentioned, one big thing is that women are less likely to have worked in the previous 12 months. Just comparing this quickly with what we see among men....
One thing of note is that a reason why you may not have received EI is that you haven't accumulated enough hours. You may have worked, but you haven't accumulated enough hours. There doesn't seem to be a big difference between men and women in that regard.
So it would seem from these statistics that if you have worked, you're no less likely to not qualify for EI if you're a woman. The big thing is that you just might not have worked at all last year. That's the big barrier to eligibility, from what these statistics show.