In a heavy sauté pan over medium-high heat, add the oil, onions, and carrots. Cook until the onions start to soften, approximately 3 to 5 minutes. Add the turkey, chili powder, salt, and pepper.
Cook until the turkey is browned and no longer raw, approximately 7 minutes. Use a spoon to break the meat up.
Stir in the olives and raisins. Then, add ½ cup of tomato puree and the Worcestershire sauce. Turn the heat down and simmer for 10 minutes, adding more tomato puree if the filling becomes too dry.
Remove the pan from the heat and cover. Allow this to cool completely. You can also refrigerate the filling and use it later or within a couple of days.
Pastry
In the bowl of a food processor, add the flour and salt. Pulse just to combine. Add the diced butter and pulse until the mixture starts to resemble coarse sand or small peas.
Add the ice water, 1 tablespoon at a time, and pulse just until the dough comes together into a ball — not too wet.
Dust a flat work surface with flour, knead the dough with your hands and shape it into a flat disc that is about ¾ inch thick. Wrap the disc in plastic film and refrigerate for 1 hour or longer.
Assembly & Baking
Preheat your oven to 375°F. Line a baking sheet with parchment paper or grease with oil.
Lightly dust a flat work surface with flour. Divide the dough into 8 equal-sized balls.
Dust the balls of dough with flour to prevent them from sticking. Roll each ball into ⅛ inch thick circles.
Place 2 to 3 tablespoons of turkey filling on one half of the pastry, leaving enough room to fold the dough over the filling and to seal the edges.
Fold the empty side of dough over the filling to form half-moons.
Seal the edges well by crimping with your fingers or using the tines of a fork.
Place the empanadas on the lined sheet pan. Using a sharp knife, cut a small X in the top of each packet to allow steam to escape.
Brush the tops and edges of the empanadas with the egg and water mixture.
Place the pan in the oven and bake until golden brown, approximately 25 minutes.