White women absolutely do have institutional power to oppress poc…including moc. They always have.
Sooner you stop kidding yourselves the better. You reap all the benefits of white supremacy alongside your white men.
And you enact your power against poc of all sorts all the time.
You love to smash woc under your feet even as you claim to be liberating them.
Your blamelessness is a myth kept up by your whiteness.