Warm the milk to about 110°F (43°C). Stir in the sugar and sprinkle the yeast over the top. Let it sit for 5–10 minutes until foamy.
Add the egg, melted butter, and salt. Gradually mix in the flour until a soft dough forms.
Knead the dough for 8–10 minutes until smooth and elastic.
Place the dough in a greased bowl, cover, and let it rise for 1–1.5 hours until doubled in size.
In a saucepan over medium heat, combine strawberries, sugar, lemon juice, and cornstarch. Cook for 5–7 minutes until thickened, then cool completely.
Roll the dough into a 14 x 9-inch rectangle. Spread the cinnamon butter, then evenly spread the strawberry filling.
Roll tightly into a log and cut into 9–12 rolls. Arrange in a greased baking dish. Cover and let rise for 30–45 minutes.
Preheat oven to 350°F (175°C). Bake the Strawberry Cinnamon Rolls for 20–25 minutes until lightly golden.
Whisk glaze ingredients until smooth and drizzle over warm rolls before serving.