Cecal droppings occur a couple of times a day, and are from the 2 cecal pouches where food is fermented before moving on to the large intestines. The picture looks like a typical cecal dropping.
How old is she? Does she normally lay eggs? Is her crop empty? Photos of droppings might help. I would try to make some small torpedos of egg, water and chicken crumbles to place inside her beak to eat. Offer fluids.
If her vent is prolapsed, I would keep it moist with vaseline, mineral oil or honey which can reduce swelling. Has she been laying eggs. Is she low in pecking order or picked on by a rooster or the hens? Being bloody sounds like she may have been pecked with the prolapse. I would separate her in...
How is she acting? Chickens with coccidiosis are usually 3-9 weeks old and act lethargic, hunched or puffed up, do not eat, and may have runny poops, sometimes with blood. Corid is usually the treatment.
Beak injuries can be very painful for a number of days. I would take some time to assess her injuries. It looks like ir may just be cracked at the bottom, and many times youncan dona slight trim and file to get the beak smooth and in good shape again. Try some crumbles and a little wet feed...
You can try uploading a video to YouTube with a link posted here or take a look at this link:
https://www.backyardchickens.com/threads/how-to-upload-videos-to-the-gallery.1631126/
Sometimes chickens can inhale a little chicken feed and get what is called stridor, a wheezing sound.
If it is fowl pox, it is a virus spread by mosquitoes that last about 3 weeks. Most recover with no treatment. You can clean the eye with a little saline and apply some Terramycin or plain Neosporin ointment into the eye twice a day.
If you can feel air under her skin anywhere it can be needled with an 18 gauge needle and syringe to pull the air out. There are air sacs all along the chicken’s body, and a bump can cause a leak. That sometimes has to be repeated. You can even use a sewing needle and squeeze the air out as seen...
If the crop is full of liquid or squishy/puffy, it can force crop contents back up into the throat and cause choking. Do you provide poultry grit every day?
I would just leave her in the car until the vet can see her. She should tolerate the temperature okay for a short time. Have you seen this article on crop treatments...
Let us know how she is doing in a day or so. Does she have any air under skin, which could be a leaking air sac. It sounds like you are doing what you can to help her.
You can give the coconut daily 1 tsp cut into small pieces until her crop feels empty early in the morning. I would offer ner some watery egg. You can massage her crop several times a day if it is firm or doughy, but not if it is squishy or full of fluid.
I would keep an eye on her nostrils in case she is getting feed stuck in her nostrils. It is always good to note if there are any bubbles or foam in an eye when the nostrils are clogged. Good to hear that she is better now.
I would still look her over for mites moving about on her skin under the vent, belly, wings, and neck. Check her crop first thing in the morning when it should be empty. Try to get her eating some cooked egg and some moistened chicken feed after checking her crop in the morning. Does she...