Her poop might be like that because she hasn't been eating. If she drinks but doesn't eat you can put a little food and some water into a cup an trick her into thinking that she is drinking and not eating😏. It worked with one of my hens that had some of the problems that yours has.
I found an...
If she is egg bound then you may be able to feel the eggs if you gently push your finger into her vent. You may be able to get eggs out of her if you lubricate her vent. Could you posts a picture of her poo and how she is standing? I don't know much about vent gleet so I can only help about...