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In blender, combine icing ingredients; blend until thick and creamy. Freeze 1 hour. Whip mixture; freeze for 1 additional hour. Move to refrigerator.
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Preheat oven to 400 degrees F. Line 12-cup muffin tin with paper liners or spray with non-stick coconut spray.
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In large bowl, whisk together gluten free flour, poppy seeds, baking powder, baking soda, salt, coconut sugar and lemon zest.
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In medium bowl, whisk together eggs, lemon juice, vanilla extract, oil and oat milk until completely combined.
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Pour wet ingredients into dry; mix until just combined. Pour into prepared muffin cups, filling almost to the top of each well. Bake 13 minutes.
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Remove from pan, let cool on wire rack. Frost.