I’ve been around gun shy dogs my whole life and haven’t seen one get over it. If you like the dog I would keep it as a pet. When I was a kid my grandpa had a gun shy beagle and we used 22’s and when you missed the rabbit the dog would take off for the house and we would go back pet it up real good and lead it back to where we missed the rabbit and it would take back off on the track!! I know a guy that has a good rat terrier squirrel dog and it is so gun shy you have to hold he gun behind your back when your walking up to the tree or it will take off but after you shoot it will get over it and go tree another. Most bird dogs and labs aren’t gun shy.