Preheat the oven to 350 degrees F. Spray a standard 9-inch loaf pan with nonstick spray.
Heat the vegetable oil in a large pan over medium-high heat. Add the carrots, celery, onions and some salt and pepper; saute until just starting to soften, about 3 minutes. Add the garlic and stir to combine; saute until fragrant and softened, about 1 minute. Add the tomato paste and Worcestershire sauce, and cook for 1 minute more. Remove from the heat and set aside to cool to room temperature.
In a large bowl, combine the ground turkey, grated cheese, breadcrumbs, thyme, sage, rosemary, egg, some salt, 2 teaspoons black pepper, and the cooled veggie mixture. Mix with your hands until well blended.
Fill the prepared loaf pan with the meatloaf mixture. Bake until a meat thermometer inserted into the center of the loaf registers 170 degrees F, about 55 minutes.