See
https://www.guinealynx.info/handfeeding.html for some tips.
This is the way I do it. Get all your feeding materials ready first (see below for more info).
1) Put your non-dominant arm on a table that's at a comfortable height for you, and throw a towel over it.
2) Put the pig on the towel and wrap it enough so that it can't back out of your arm.
3) With your non-dominant hand, grip the pig's head firmly between your thumb and forefinger, holding it just behind (not ON) the hinge of the jaw. Slide your hand toward the pig's nose so that the eyes are shielded.
4) Insert the syringe in the side of the pig's mouth, behind the front teeth, in front of the back teeth. Insert about half an inch, and turn the syringe so that it points at the pig's throat.
5) Give about 1/4 to 1/2 cc at a time. If the pig is chewing, it's swallowing. If it's spitting the food out, you're not getting it far enough back on the molars.
For an uncooperative pig, using 1 cc syringes makes it much easier to get the food in without choking the pig. Be sure to read the GL info about trimming the nose off the syringe and smoothing the end of the barrel. Use a large syringe (free at most pharmacies if you tell them it's to feed a sick pet) to load the small syringes. Load up at least 10 of the small ones at a time, or have someone else available to keep reloading them.
If the pig learns to cooperate, then feed from the larger syringe.
Make the Critical Care mixture watery at the beginning, and you may have to add more water. It will thicken up as it sits. And be sure to get all the lumps out. Lumps will block the flow out of the syringe, and if you try to force it while the syringe is in the pig's mouth, you can wind up choking it to death.
You can do this. You're a large human, and this is a three-pound pig, at most. You're equipped to win this battle. She doesn't have to like it, but she does have to eat. And you have to make her do it. It's called "force feeding" for a reason.
The good news is that most pigs will adjust fairly quickly to being fed this way. And if they like the CC, they may even eat a glob of it off a spoon or a plate.