Begin by warming up your grill to medium, medium high heat.
In a medium sized bowl, mix ground turkey with oregano, garlic, vinegar, lemon, onion, and dill. Form into 1/4 pound patties.
Grill for about 5 minutes per side, or until turkey is no longer pink inside.
Meanwhile, make the whipped feta. Add cream cheese, lemon juice, feta, garlic, and dill to a food processor and blend for about 2 minutes. Feta should be well combined, and mixture should be fluffy and creamy.
Top your burgers with feta, and add your favorite toppings.