Good Grief.......After I was certain my broody was settled as I didn't want to disturb her too soon after putting the eggs under (I waited a couple of days), I chose to gently pull out the poopy mess and add clean bedding. It is best if you can catch a time when she is off the nest to eat and drink. Sometimes you can entice them to get up and eat by putting in a container of food in front of them.
I had the best luck with a layer of pine shavings on the bottom and then timothy hay or very soft straw on top of that. It added absorbency for poo and help contain the mess, and the layering made it easy to change things for cleaning. In time she got better at not making messes in the nest.
Lady of McCamley

I just pick my broody up and gently toss her out the door............ Your Broody is very lucky to have you........