I'm so glad to read she's eating!

I will have my fingers crossed for you and her!
I hear "normal" super glue's fumes can be toxic to birds (doesn't help that it's right by her nose.) She obviously survived that, so I wouldn't worry about it now
at all~ but I, personally, would not try using it on a chicken again just to be on the safe side. They do make a less "smelly" version for the "human" medical community to use, that might be fine if there's any future need (but I don't know how to get it unless you're a doctor or a vet. Maybe if you know a nurse, they might have some on hand. My vet used it on my chicken recently) I would keep leaving that alone until the vet can help. It's great that she's eating and drinking: I can tell you about force feeding though, in case things go south again. I use to hand raise baby birds. Like, really really really expensive parrots.
#1 you will want to angle any food you "shoot" into her mouth with a syringe/pipette/baster so you lessen the risk of choking. Their crop "pipe" leans more to one side, their lung "pipe" leans more to the other. You also don't want to shoot it at the roof of their mouth. Here's an excerpt from
a parrot feeding page that explains it:
Quote: Birds have 3 holes in their mouths - one in the roof of their mouth, one in the middle of their tongue and one in the back of the throat on the left hand side (as you look at them). The holes in the roof of the mouth and the tongue are for breathing - the one into the roof of the mouth goes into the upper respiratory tract (snares, upper sinuses). The hole in the tongue goes into the lower respiratory tract - lungs. Normally, while eating, these holes are closed. The hole in the rear left hand (the bird's right) side is the esophagus and leads to the crop and intestinal system.
Do it in small amounts because chickens are not engineered to be fed by others and it may not be natural for them to "hold their breath" to eat when something is shoved in their mouth. Given them good breaks to "catch their breath" between bursts of food, to lessen them wanting to open their airways when food is coming in. It will probably be fine. It's usually far less scary than it sounds: I just find that knowing "why" really helps the process.
If you drip food or water onto their beak, something that will just encourage them to lick it off as it rolls into their mouth, that's honestly the safest. It's slow, but if they'll sit on your lap while you do it, maybe just do it while you watch an episode of something on tv.
When they don't want any more water they'll just shake their head and fling it off. Sometimes they'll always shake food off, even if they're hungry- but I've found that it's rare they do it for water if they're thirsty. It's the same for lizards (rescued a lot of those) With chickens and birds: you can feel their crop to see if they're full. I'll not explain that because I know there's stuff written about it on this site: but if you do it, just don't press very hard to feel for it, and don't press in an upward motion: that can encourage puking ;p
#2 you do want to make sure any watered down feed you
squirt/force feed into their mouth isn't too runny, and isn't too thick. Basically, make it like a thick-er soup but not like concrete. If it's too thick it can sit in their crop and rot, if it's too runny, it's not great for their digestion/nutrition either. So, if you're feeding her soft food, but she seems to not like to drink, try to keep dripping water on her beak through-out the day to make sure she has the choice to be hydrated. If she's always eating & drinking some on her own, I would think the thickness would matter less because she might be able to judge for herself if she needs more water or not. This also may be why she isn't drinking a lot, because she's getting her water with her food now (again, that's actually HOW my lizards function. It's rare for Bearded Dragons them to drink water because their food often fulfills their needs)
#3 the other safe thing to do is make sure the food and water isn't cold. For chickens it's probably different than baby parrots, I assume room temperature food and/or water would be fine. Another reason I can think of: This is an assumption but maybe it's why she doesn't like to drink water currently~ If her water is outside, or coming out of the faucet cold, it possibly hurts? I've had nerve damage/nerve exposure (like her beak must feel) and cold HURTS so badly. It can feel like like being stabbed. But, your location says Georgia and, originally being from the south myself, I can't imagine it's that cold there right now? So that idea was just a shot in the dark.