My Duchess is the same way, she barks like crazy at other dogs but as soon as she is introduce to them, she no longer barks at them. In fact she completely ignores them. Unfortunately, I can't let introduce her every dog so I am trying to find ways to tame her barking when she sees a dog she doesn't know.
In your case, if the dog is friendly and supervised, I don't see any harm in an introduction. She might not feel so threaten if she knows this other dog is not threat to her. |