Spray a 9×5-inch loaf pan with cooking spray and lightly coat pan with a tablespoon or so of gluten free flour.
In a large bowl, add the eggs, sugar, and yogurt. Whisk until smooth and combined.
Continue to whisk while adding the oil until combined.
Whisk in the lemon zest and extract.
Add the flour, baking powder, salt, and stir until just combined. A few lumps is ok.
Pour the batter into the prepared pan and lightly smooth the top with a spatula.
Preheat oven to 350F while the batter hydrates and rests.
Bake for about 50 to 52 minutes until a toothpick inserted in the center comes out clean or with a few moist crumbs.
Place the cake on a wired rack and allow to cool in pan for at least 30 minutes before turning out onto the wire rack to cool completely.
Once completely cool, prepare and ice the cake.