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Preheat oven to 400˚F. Spray a 12 cup-muffin pan with baking spray or line with cupcake papers. (I like to use the grease-proof cupcake papers and spray them lightly with baking spray).
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Prepare the crumble by placing flour, brown sugar, oatmeal, sesame seeds and salt in a medium-size bowl. Mix to combine with fork. Add melted butter and continue to stir with a fork until big crumbs form. If mixture is too wet to form crumbs, just add a bit more flour and stir again with fork. Set aside.
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Beat butter and sugar. Add egg and beat well.
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Combine milk and Greek yogurt. Combine dry ingredients and add alternately with milk/yogurt mixture beating, or stirring just until combined**. Gently fold in apples.
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Divide into the twelve prepared muffin cups.
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Divide crumb mixture over batter.
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Bake for 5 minutes at 400˚F then reduce heat to 350˚ and continue to bake another 10 to 15 minutes until springy when gently touched on top. Let muffins sit in pan for 5 minutes, then remove to cooling rack.
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While muffins are cooling, prepare drizzle; combine brown sugar, butter and milk in a medium size microwave-safe bowl. Microwave on high for 30 seconds, stir well and return to microwave for another 30 seconds. Add vanilla. While stirring add powdered sugar and mix until smooth and creamy. Mixture should drizzle easily but should not be super 'runny". Add a bit more milk or powdered sugar to adjust thickness.
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Drizzle icing randomly over muffin tops. Allow to cool and enjoy!