I, too, am the mother of a daughter, who is 28. She's a manager of a bank branch. It's quite fun when she phones me for some management advice these days. So I'm getting a bit smarter as it goes.
My advice to her was what I talked about earlier, which is that—and I think, Ms. Day, you also mentioned it—in this day and age she has choices, and she shouldn't go for equality. She should go for equal opportunity, and she should do what she wants with those opportunities.
My other piece of advice is around.... She's very familiar with the phrase “dancing with fear”, just being brave enough to be out there taking challenges and to fail. Frankly, if you don't fail, you're not trying. That would be my most motherly advice to my daughter.