Heat a large skillet over medium heat and cook the ground turkey until it is no longer pink, breaking it up with a spoon as it browns. Transfer the cooked turkey to the slow cooker.
Add the sliced mushrooms, rinsed quinoa, cubed butternut squash, diced carrots, chopped onion, and minced garlic to the slow cooker.
Pour in the chicken broth and stir in the dried thyme, dried rosemary, salt, and black pepper.
Cover and cook on low for 6 to 7 hours until the vegetables are tender and the quinoa is fully cooked.
Stir in the chopped kale during the last 15 minutes of cooking so it softens but keeps its color.
Ladle the stew into bowls and top each serving with chopped fresh parsley.