My name is Gracie!

We adopted Gracie from the shelter in August thinking she would be a good dog to protect our property and small homestead.
We were very unprepared for her extremely anxious personality and not fully educated on the Great Pyrenees breed. We have lots of room for her on our property, yet she still roams to unsafe places. No fences, gps collars, gates have been able to contain her. Instead, of protecting our chickens, she eats them. We have had lots of very successful training and once she gets bored or smells something she wants to tack all training goes out the window as far as recall goes.
She is an independent dog. We haven't gotten her to play fetch or play with us, but does play well with our other dog.
She is sweet and does love a good belly rub.
She walks well on a leash and knows sit and heel.
She is smart and does well during training sessions but then usuaĺly runs away after. She has extreme anxiety/fear of the crate. We we are still working on crate training her.