How are you working with this and can I assume that you have had a vet check her out?
I do handling exercises by touching her all over, plus paws and ears and mouth, while feeding her treats/chicken. Usually when I do it this way she is less bothered by it, as in she will still pull away but won't be as mouthy or growl at me. I can't exactly say she has gotten better with it even after 5-6 weeks of work.
She got her 3rd shots last Wednesday so hopefully there hasn't been some sort of sudden change, but her reaction to touch has stayed more or less the same.
I was wondering if maybe something with her eyes and she doesn't see the hand coming near her till it's right there and it startles her.
The eye thing was bizarre. I dropped/put my hand down near her mouth to the side of her face while she was lying down on the ground, and she kept eyeing it and growling and then (play) snapping at it. She moved her face away from my hand but didn't walk away from the area. I didn't move my hand and didn't say anything and she just seemed really agitated that my hand was even there. I wonder if it's part of a bigger problem with her possessiveness (i.e. she doesn't like my hand near her mouth because she associates it with me taking things away) or if she has a problem with (my) hands since she usually doesn't like petting or cuddling.
Well I happened to have some other people come over for a playdate and Nellie did not like them picking her up too. They also own a corgi so I'm fairly sure they weren't hurting her, she was just making those "rrrruh ruh ruff! ack ack ack" noises and struggling and being unhappy about being picked up. I have to pick her up all the time for potty so it's not like she isn't used to it. I'm just not sure why she's still SO bad with handling (and the breeder said she handled Nellie a lot too).