Ok, so, hi! I haven't had a chance to thoroughly read this thread, so apologies in advance if I cover anything that has already been touched upon. Becca (Beman) has already gone over your basic husbandry and what needs to happen there, so I'll focus on short term things to do and rehab.
It's already been touched upon, but your girl is very dehydrated, and obviously quite weak. As you've already found out, administering water via syringe can be tricky, especially in ill animals that may not have a good swallow reflex. I highly recommend you place her on a plant/perch/etc and use the "shower method" to help re-hydrate her. Once (or twice) a day, bring her into your bathroom and turn the shower on. Ideally, you want approximately lukewarm/room temp water - NOT hot! Place her perch/plant in such a manner that the water bouncing off the walls gently mists her, and let her drink her fill. She can stay in there for ~30 mins, or until she stops drinking/seems to want out.
Right now, it's more important for her to be drinking so I'm not concerned at this point WHAT kind of water you're getting into her... but for drippers/misting/etc in the future, I'd highly recommend using reverse osmosis (RO) water or distilled water with the addition of ReptiSafe (dechlorinator + electrolytes).
When it comes to giving medications and force/syringe feeding, make sure you're aiming the syringe well to the back of the throat (blue arrow) - the epiglottis (red arrow) is very close to the front of the mouth in chameleons, and it's very easy to have them aspirate. It can be difficult to open their mouths if they don't want to, but I've found that when all else fails if you run your fingernail down the seam of the mouth from the front to the back and gently wiggle your way in, you can get it open enough to carefully wedge a syringe in there.
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More later if I can think of anything else. She's in pretty dire straits right now... good luck, and keep us posted!
~Amanda
