Preheat oven to 400°F.
Melt butter in a large, oven safe skillet, over medium heat. Add the diced onions and saute until translucent, about 5 to 6 minutes.
Add minced garlic, thyme and rosemary and cook for an additional minute, stirring continuously.
Whisk in the flour and cook for about 1 minute, stirring continuously.
Slowly whisk in the chicken broth followed by the half and half making sure to fully incorporate the liquid before adding more.
Bring to a simmer and season with salt and pepper to taste.
Stir in the shredded or diced turkey.
Bring the mixture back to a simmer, stirring constantly. Reduce heat to low and cook until the filling is thickened to your liking, about 4 to 5 minutes.
Stir in the peas and carrots.
Remove from heat and set aside. (If you are using a skillet that is not safe for the oven, transfer the filling to a baking dish at this point.)
Place biscuits evenly over the top of the filling.
Bake for 25-30 minutes or until the biscuits are golden brown on top and cooked completely through. Check the bottom of a biscuit to be sure it is cooked through.
Serve and enjoy!