I think whenever you are a "minority" in anything you run the risk of being felt left out.
If your group comprises only 20% of something, then it is always going to be an issue.
The problem with the gender gap is that it will never go away. Prejudice against a race, ethic group, or religion is a mistake. People are generally people and we have more in common than we don't.
And as time goes on, I think you will see this type of prejudice disappear.
However, men and women and their differences will be around forever. There are clearly differences in how we think, act, behave and look. It's up for debate how much of this is cultural and how much is biological.
So, I don't see this going away, maybe ever.
Is there only 13% female engineers because men are sexist and treat them poorly? Or is it because men like math, science and engineering more than women?
I was a high school math teacher. I did everything I could do encourage my strong female students to go into a STEM field. They were some of my strongest students, they worked hard, they were ambitious, but they just didn't want to do it. I have no idea why, but they didn't want to study any more math than they had to.
On the opposite end, I had a few male students who weren't great (not even as good as a lot of the female students), yet they went on to study in a STEM field. Why? Because they really wanted to do it. They were drawn to it.
This is all anecdotal, but there is something there when I saw the same issue play out in several of my classes. I even brought it up with my female math teachers and they saw the same problem. Girls just aren't interested in studying math and science in college at the same rate as boys.