Preheat oven to 350 degrees. Grease a 9x5 inch loaf pan. In a large bowl, combine 2 cups flour, 1 cup sugar, baking soda and salt. In another bowl whisk together buttermilk, egg, and oil. Stir into the dry ingredients until combined. Toss the chopped strawberries into the 1 tablespoon of flour and gently fold into the batter.
In a small bowl combine 1/2 cup sugar and cinnamon. Spread half of the batter into the bottom of your greased loaf pan. Sprinkle with half of the cinnamon sugar. Carefully spread the remaining batter followed by remaining cinnamon sugar. Gently swirl with a knife.
Bake for 45-50 minutes or until toothpick in center comes out clean. Cool 10 minutes. Remove from pan and cool on a wire rack. Combine confectioners sugar and milk and drizzle over the bread.