Clean and in competition? If looking at averages, it is statistically almost nil.
Yes but the stats for figure skating are skewed, as pointed out in this thread. Only a very select few people become high level elite figure skaters - not because of natural ability but because of both natural ability AND a ton of other factors. Just look at skaters - who is NOT represented? As skating becomes more accessible (more rinks, cheaper costs, less stigma for men, etc) and as technology improves (lighter and lighter boots, blades, and costumes) we will see more women doing quads. It's inevitable.
Forever, in every sport, people have said XYZ is impossible. And then someone does it. This will be the same. Women absolutely WILL be doing clean quads in competition within the next decade, especially if the new scoring system favors it.