In a mixing bowl, combine flour, sugar, yeast, and salt. Add warm milk, melted butter, and the egg. Knead the dough for about 5-7 minutes until smooth. Cover and let it rise for 1 hour.
In a saucepan over medium heat, combine strawberries, sugar, cornstarch, and lemon juice. Stir until the mixture thickens (about 5 minutes). Let it cool completely.
Roll out the dough into a rectangle. Spread the strawberry filling evenly. Roll the dough tightly and cut it into 12 pieces. Place them in a greased baking dish and let them rise for 30 minutes. Bake at 350°F (175°C) for 20-25 minutes until golden brown.
Mix powdered sugar, milk, and vanilla extract until smooth. Drizzle over the warm rolls. Serve and enjoy!