Broody covered in egg, please help!!!

One of my broody hens (called Rosie) has been gathering all the eggs laid today by the other hens (as they do ) and when I went to collect the eggs, one of them had slightly cracked and the yolk had seeped out and has gone all over Rosie's underneath. Her feathers are very sticky  .
I would give her a warm bath, but I've heard putting broodies in water is a tactic to break the broody cycle. I have bought some hatching eggs today and am letting them settle for 24 hours before putting some under Rosie and the rest under my other broody, Albertine/Bertie.
How should I clean Rosie up? Because I want her to be ready to sit for 3 weeks, starting tomorrow.
Or should I just leave her to it?

Thank you for reading this topic and any ideas are welcome

You need to clean her up, as you don't want the eggs she will be sitting on covered in gunk.

That's what I thought. I'll help her clean up a bit then  .