Heat the oven to 375°F. Use muffin liners or lightly butter a 12-cup muffin tray. Mix flour, baking powder, soda, salt, and cinnamon in a large basin.
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Mix honey, apple sauce, olive oil, milk, egg, and vanilla essence in a medium bowl. Mix wet and dry components using a spatula. Do not overmix. A few bumps are acceptable. Spread blueberries in batter with a spatula.
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Scoop or pour batter into muffin pan wells, dividing equally. Fill each well, approximately ¾ full. Bake muffins for 22 minutes or until a toothpick inserted into the middle comes out clean.
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After 10 minutes in the pan, transfer the muffins to a wire rack to finish cooling. If needed, use a butter knife to loosen muffins from the pan.
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Serve warm or room temperature. The muffins may be stored at room temperature for 4 days in an airtight container.
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