Hiya, and welcome to BYC!
Yesterday I actually got a bloody egg, which isn't rare, but not a common thing either.
Was the egg rather large for her? That can sometimes happen, like in my case it was a rather large egg for my little silkie.
If you aren't already putting oyster shell in a separate dish, I would get some and provide that for your hens. If you already do that, I'd give her a Tums or a human Calcium +D, whole. Just pull down her wattles gently and she'll open up. That'll cause contractions in case she's got a broken egg inside her yet. You can do this daily for three days and hopefully by then she'll be looking much better.
As for the milky discharge, does it have a bad odor? It could be vent gleet. For that, you can get some generic Monostat cream, as long as it's got miconazole nitrate in it. I'd bathe her butt end, then dry and put the cream on her vent area. If you squeeze out about 1/2" of it, you can give her that orally too. This would be done 2-3 times a day and in around three days should be gone.
Giving something probiotic a couple times a week usually keeps vent gleet from occurring. There's powders for water which is the easiest way.