Preheat oven to 375.
Heat oil in a large skillet. Add turkey, salt, pepper, and thyme. Cook, stirring occasionally, until turkey is cooked and no longer pink in center. Add peas and carrots and heat until vegetables are hot. Remove turkey mixture from pan; keep warm.
In same pan, melt 1/2 cup butter. Add 1/2 cup flour and stir until smooth. Slowly stir in broth, and continue stirring until smooth. Return turkey mixture to pan; stir well to combine. Add turkey mixture to each of 4 greased individual pie plates or oven-safe bowls (5-6 inch).
Carefully place the pie crusts over the filling in dishes. Press and flute the edges, to seal. Vent the top in several places.
Bake at 375 for 25-30 minutes, or until the filling is bubbling up and out of the vent(s) and crust is browned.