1. In a medium pot, boil potatoes in salted water until soft, 15 minutes. Drain and mash with ½ cup almond milk, salt and pepper.
2. Meanwhile, in a large skillet on medium, heat 1 tsp oil. Add turkey and cook until no longer pink, 5 minutes. Add onion and carrot and sauté for an additional 4 minutes. Add garlic and cook 1 minute more.
3. Meanwhile, in a small saucepan, whisk together remaining 2 tbsp oil and flour and cook until bubbling, 3 minutes. Whisk in remaining 1 cup almond milk, thyme, rosemary, parsley and additional salt and pepper and let thicken for 2 minutes. Add sauce to turkey mixture and cook until heated through.
4. Preheat broiler to high and arrange an oven rack 8 inches from element. Place turkey mixture at the bottom of a casserole dish. Evenly spread potatoes over turkey mixture and top with a sprinkle of paprika. Broil until potatoes are golden brown. Cut into 4 squares.