She is beautiful - the reddest RIR I think I have ever seen.
It makes sense that she is not pooping if she is not eating. Next time she does, please post a picture regardless of how small it is.
The bath may have stressed her and thus the labored breathing.
I would continue to try to get her to take in some fluids. Dropping small amounts of fluids in the side of her mouth is good. The sugar water may give her some energy to finally pick herself up and start drinking on her own. Darkening her area may help her to relax a bit.
If she were my chicken, I would try giving her anything she might be interested in. Boiled chicken, melons, tomatoes (not the stem or leaves) etc. If you can get her to eat a couple of bites of watermelon, you would both hydrate her and get some electrolytes into her.
Rooting for you and for her!