Heat a large skillet over medium heat and add the ground turkey sausage.
Cook the turkey, breaking it into small pieces with a spoon or spatula, until no pink remains, about 8–12 minutes.
Drain any excess liquid or fat from the skillet and let the cooked turkey cool completely.
In a large mixing bowl, combine the cooled turkey, cooked quinoa, sliced cucumbers, sliced red onion, halved grape tomatoes, Kalamata olives, and crumbled feta.
Add the minced garlic, chopped mint, chopped oregano, and lemon juice to the bowl and toss gently until evenly mixed.
Chill the salad in the refrigerator for at least 30 minutes to let flavors meld, then serve.