It's worth trying again so I'll try.
The gender pay gap has zero to do with paying women a different amount for doing the same job as men - that's illegal already.
The gender pay gap isn't anything to do with women-only shortlists.
The gender pay gap is about opening up career pathways that previously haven't been open to women, have been discouraged for women, women haven't thought about -- for lots and lots of different reasons. Cultural, historical, self-limitation, external limitation, bias, or just choice.
If you think the gender pay gap means you can't pay a man more than a woman. You're wrong.
If you think the gender pay gap means you can't discriminate against women, or black people, or gay people - you're wrong. That's what long-standing legislation does.
If you think the gender pay gap is an argument for choosing someone less capable to do a job, you're also wrong.
Hope that helps.
Statistics can be useful but they aren't 100% proof of anything. The gender pay gap fails to take into account a multitude of factors - age, experience, qualification, track record, and of course luck. There may also be other factors in individual cases.