Prepare the Oven and Pan: Start by heating the oven to 170°C. Grease and line a loaf pan or round cake tin with baking paper. This helps the cake bake evenly and release cleanly after cooling.
Mix the Dry Ingredients: Add the plain flour, baking powder, and salt to a bowl. Whisk gently to combine. This step spreads the baking powder evenly so the cake rises nicely.
Combine Sugar and Eggs: In a large bowl, beat the caster sugar and eggs until the mixture looks pale and slightly thick. This gives the cake structure and a smooth texture.
Add Oil, Yogurt, and Lemon: Pour in the oil, yogurt, lemon juice, and lemon rind. Mix until everything blends smoothly. The batter should look glossy and light.
Bring the Batter Together: Add the dry ingredients to the wet mixture. Stir gently until just combined. Stop mixing once the flour disappears to keep the cake soft.
Bake the Cake: Pour the batter into the prepared pan and smooth the top. Bake for 40 to 50 minutes until golden and a skewer comes out clean. Let the cake cool slightly in the pan.
Make and Add the Glaze: Mix icing sugar and lemon juice until smooth and pourable. Spoon the glaze over the warm cake so it slowly sinks in and coats the surface.