Good to hear that she is doing better. Hopefully she will begin eating and drinking normally. You can do some poop removal manually to make sure that her vent is clear. Bathe her later today if she is eating and active. I would let her have a visit with her flock today, but keep her inside and...
Sorry anout your chicken, but glad that you found her in time. I have had a similar thing happen when a hen was trying to escape from others, and she hid behind nest boxes. Also some would sleep on top of them and had one fall behind and get stuck. Look around the coop for other possible...