Sick chicken, yellow fluid.

Our 2 year old lavender orpington hen Ivy was showing signs of being egg bound (penguin like stance, hadn’t seen her lay an egg, throbbing vent, wouldn’t eat or walk around). I gave her a few epson salt baths, but the second time I picked her up to take her out of the bath this fluid came out of her vent. Is it possible the egg broke inside her and its yolk or is it just a sign of an infection or sickness. I haven’t seen any egg shells and this is my first time dealing with an egg bound hen. She seemes to have perked up a bit the next day but her vent is still throbbing and she looks a bit hunched. Shes not walking around much, but she’s drinking water (with added vitamins and electrolytes). Any idea what this could be or what I can do to help her. there’s no vet that accepts chickens in my area so any advice is greatly appreciated.