Preheat oven to 350°F. Grease a 9x5" loaf pan and set aside.
In a medium bowl, mix the flour, baking soda, baking powder, and salt together. Set aside.
In a separate, larger bowl, mix the oil with the sugar until combined. Stir in the yogurt, milk, lemon juice, and lemon zest. Add the dry ingredients to the wet ingredients and mix to combine. Stir in the poppy seeds.
Pour the batter into prepared loaf pan and bake 30-35 minutes, or until a toothpick inserted into the center comes out clean. Cool completely before removing from the pan and glazing.
To make the glaze:
Mix the powdered sugar with the milk until fully combined. Be sure to add the milk one tablespoon at a time as you monitor the consistency. If needed, add more milk to help thin out the glaze.