In order to have a better picture of what's going on with your dog it would be helpful if you could answer some questions.
1)Can you tell us what kind of shocking experience she had? details?
2)She's got to be going somewhere so when she actually does go what are the circumstances? Do you mean that if she's outside and not going, and then you clip her on leash she will go? or she will only go if you take her for a walk on the leash?
3)It is just the back yard she doesn't like?
4)What does it look like when she is "miserable"?
5)How do you encourage her when your trying to get her to come outside?
6)what do you mean by "try to downplay and let her have freedom about going outside"? Do you mean you just leave the door open and allow her to make the choice?
7)You say she wont stay outside, do you mean that she just sits by the door and asks to go back in, or do you have a doggie door?
8) Any idea how old this dog is?
9) What's her name?
The more details you can give about the dog and the situation the better it will be to get answers going from people