Update. It's been over a week I believe and there has been no more discharge. The egg managed to come out and since then she has been acting normal running around again. I have provided more oyster shell and I believe she may be laying again. Thank you all so much for all the helpful...
She does not want any of the cooked egg I made her with tums and crushed egg shell in it. I put some on some bread and she barely took any of it. Would you recommend me going ahead and buying her some more oyster shell this morning.
Update: she would not eat any of it, she only drank some water. I will try again in the morning. I happened to find this below the roost bar though (part of an egg):
Went to check on the hens before bed and noticed one was acting different. She has clear liquid coming from her vent when she jumped on the roost bar some of it dripped below her and the other hens wanted to eat it? Could this be an egg broken inside of her? And if so, what can I do. Please help!