Women are obviously mentally and physically capable of changing tires, even if never taught by a father in this age you can watch a guide video. The issue is more society, expectations, and appearance, women are often expected to look perfect, with things like nails in perfect condition, hair, etc. - changing a tire can compromise that perfect image.
I don't drive, I bike and it causes a different interaction with society, I am not inside a box, so I tend to communicate with the world more. Example is a car overtook me then stopped, I observed it had a tire decidedly droopy to the point in not much time it would be flat. So to not scare the female driver I stood some distance and waved and smiled til she wound down window, I pointed to the tire and recommended it be addressed soon, so a thanks then they moved on to a garage. If that had been in a different physical situation I'd have happily offered to swap to wheel. Then you hit into the problem not related to gender or fathers, often the required tools are not in the vehicle, they got mislaid.