There aren't more lady songwriters for the same reason that there aren't more lady doctors or lady accountants or lady lawyers; not enough women have the time for careers.
Order is manifestly maintained in the universe... governed by the sovereign will of God.
I created Punk for this day and age. Do you see Britney walking around wearing ties and singing punk? Hell no. That's what I do. I'm like a Sid Vicious for a new generation.