Cut the wild turkey breast meat into 1 in. x 3 in. pieces. You don't need to be exact. Long and thin cooks through better.
Season the cut slices of turkey with some salt, pepper, and a bit of the rosemary. Keep some of the rosemary for later.
Pour the flour across a large plate and coat each side of the uncooked turkey breast in it. Shake off the excess flour.
Heat a large soup pan or Dutch oven over medium-high heat. Add 4-5 tbsp. of olive oil to coat the bottom of the pan.
Brown the turkey on all sides until the pieces are golden brown.
Set the turkey in a dish to the side for now.
Turn the heat down to medium, add the butter and let it melt.
Stir in the diced onion and cook for 4 minutes.
Stir in the sliced leek and cook for 4 minutes.
Stir in the salt, pepper, rosemary, garlic, celery, and carrots. You can adjust the amount of salt and pepper to meet your needs.
Pour in the chicken stock and add back in the turkey.
Bring it to a simmer over high heat and then reduce the heat to the lowest setting.
Cover the pot with a lid and cook until the turkey is fork-tender. Stir occasionally. This could take around an hour to an hour and a half. Low and slow.
Once the turkey is fork-tender, stir in the cream and gnocchi and cook for 10 minutes. Enjoy!