Preheat oven to 350°F (180°C). Grease or line a 9×5 loaf pan.
In a bowl, mix sugar, milk, oil, egg, and vanilla until smooth.
In another bowl, whisk flour, baking powder, and salt.
Add dry ingredients into wet ingredients and mix just until combined. Do not overmix.
Toss strawberries with 2 tbsp flour, then gently fold into batter.
Pour batter into loaf pan and bake for 50–55 minutes.
Check with a toothpick; it should come out clean.
Let bread cool for 10 minutes, then transfer to a wire rack.
For glaze, mix powdered sugar, butter, strawberries, vanilla, and milk until smooth.
Spread glaze over cooled bread, slice, and serve