When you get to the vet, make sure you get a fecal floatation done to check for internal parasites, they will not always be visible in the droppings, but the eggs will be there and they are microscopic. Agree with not bathing at this point, bathing a sick bird can be too much for them. The green in the droppings could be from not eating. I would give her fluids as much as possible, keep her hydrated. If the crop is not moving then adding more food will not necessarily be helpful. You can freeze some coconut oil, break into small bits and give her that, and do some gentle crop massaging, may help move things some. Poultry nutri drench is good for a bit of a boost.
I personally would separate her now. It will only make things worse if she's attacked by the flock and injured. And it will be easier to monitor her and keep her warm. I've picked up dog crates at yard sales for cheap, so start looking, they are very handy to have around and I use mine a lot. For reintegrating they are the easiest way, you can also put up a temporary fence or enclosure in the run to accomplish the same thing. Sometimes integrations go really quick and easy, sometimes it takes longer, it just depends on the bird and the flock. Also, some birds find it very stressful to be separated from the flock, so the crate is good for that too, keeps them safe, but everyone can still see and hear everyone else. Less stressful.
Giving her the calcium won't hurt her. For egg binding you would feel the egg within a couple of inches, and usually they can't poop if they are bound.