Has her eating changed at all as well- dropping food from her mouth, not eating things she would normally eat, not eating as much as usual? Is her poop smaller than it used to be? Is she drinking at all from the water dish? One thing that can cause a rabbit to stop/reduce it's eating and/or drinking, is dental problems. They can get sharp points on their molars that then cause ulceration in their mouths, or they can also get an infected tooth. These things will cause them pain when they eat and drink, so rabbits then become reluctant to eat/drink. All of this can lead to GI stasis, so it's important to get it treated right away. Since you have tried a different bottle, a water dish, and different water, and if she's still not drinking or not much, I would suspect something like this is going on.
Hopefully the vet you are seeing is a good rabbit vet, cause this is important in rabbits getting the proper treatment(not all rabbit vets are created equal). You will want the vet to do a thorough check of her teeth, and it would be good to get some metacam for pain relief, as this will help her with drinking again on her own. Sometimes when a conscious dental exam is done, the vet can't really get the best look at the teeth, so if the vet doesn't find spurs, and she still won't drink, you may have to have a dental exam done under GA, so the vet can get a really good look at them. You may even need xrays to check for infection as a cause.
http://www.bio.miami.edu/hare/dental.html
You do need to be careful about feeding too many sugary foods like carrot and apple, especially if she isn't used to them. They should only be fed in very small amounts. Better veggies to help hydrate would be dark leafy greens like parsley, cilantro, and dark leafy lettuces. But even then you have to be careful about how much you feed if she isn't used to eating them, as new foods introduced too quickly can sometimes cause digestive upset. Be careful with the cabbage if she isn't used to it. It can cause gas for some rabbits, which can then lead to them not eating.
http://rabbit.org/suggested-vegetables-and-fruits-for-a-rabbit-diet/
Since she's not acting lethargic and her behavior seems normal, aside from not drinking, as long as you help keep her hydrated she should be fine until you can get her to the vet. You can try soaking her pellets in warm water(then let cool) and see if she will eat that, as that will help her get more fluids. And if you need to, keep syringing water. Just make sure to do it slowly, giving her time to swallow, so none of it is aspirated.
Best of luck at the vets.