Combine first 10 ingredients (all except tortillas, enchilada sauce, and cheese) in a medium saucepan. Bring to a boil. Reduce heat and simmer uncovered for 20 minutes. Remove from heat.
Divide turkey mixture evenly among tortillas (~1/2 cup each). Top each with 1 teaspoon enchilada sauce, then 1 tablespoon cheese. Roll up and place seam side down in a greased 13?x9? pan. Top with remaining enchilada sauce, then cheese.
Bake, uncovered, in a preheated 350 degree F oven for about 20 minutes, until bubbly and cheese is melted.