She does look like she's not feeling well, poor dear. Any change so far? I have some general advice for when you can't get a bird to a vet, but often, by the time you notice something's wrong, it's too late to save them. Still, it's worth trying if you're willing.
Sick chickens should always be isolated, for several reasons: if whatever they have is contagious, the sooner they're removed from contact with the other birds, the better. Also, the rest of the flock tends to harrass a sick bird -- not helpful for recovery. Finally, you want to keep them quiet and warm, and make eating/drinking as easy as possible, if they're still up to eating/drinking on their own.
When you put the chicken into isolation, feel her -- is she super-skinny? Normal weight? Empty crop? Distended crop? Any other relevant symptoms? If super-skinny, the problem has been brewing for some time, and she probably doesn't have a chance. If normal weight, it's probably come on quickly, and there could be hope if you can identify the problem, and fix it. lf her crop is empty, she may not be eating/drinking, and needs supportive feeding (with a syringe). If the crop is very full -- she's either just eaten/drunk a lot (not likely with a sick bird), or her crop isn't emptying properly. If her crop isn't emptying properly, she may have sour crop (potentially curable), a blocked crop (potentially curable but needs significant effort right away), or her bodily systems are shutting down (no hope of saving her at that point). Sour crop and blocked crop each have different treatments.
If I think the bird has a chance, and she's not adequately eating/drinking on her own, I'll provide supportive feeding 2-3 times per day as long as the crop is emptying between feedings. I syringe-feed various goopy mixtures that may include any or all of yogurt, raw or boiled egg yolk, Malt-o-Meal (cooked), olive oil, molasses (proportionally small amounts), canned kitten food, or layer pellets soaked to mushiness. I make sure the goopy mixture has adequate moisture in it to provide both food and water needs. In all cases, I have water available at all times, and in most cases food too.
In all cases, I keep her in isolation, usually in a box or a small crate in the house, and sometimes under a heat lamp. Birds don't go back out to the paddock with the rest of the flock until they are perky and eating/drinking fine on their own. Sometimes this takes 10 days or more for the ones I manage to save; unfortunately, though, sometimes the best efforts just don't work, and there's plenty of reasons why. At least with this effort, you know you've kept her as comfortable as possible.
If a bird has a bacterial infection, antibiotics can be life-saving and a trip to the vet is generally very worthwhile.
Good luck!