Preheat oven to 180°C (350°F). Grease and line a loaf pan (8x4 or 9x5 inch).
In a bowl, rub lemon zest into sugar for 1 minute until fragrant.
Whisk in melted butter, eggs, vanilla, lemon juice, yogurt, and milk.
Add flour, baking powder, and salt. Mix gently until just combined.
Pour batter into prepared pan. Bake for 37–40 minutes (8x4 pan) Or 33–35 minutes (9x5 pan), until a toothpick comes out clean.
While baking, combine syrup ingredients in a bowl and microwave for 40 seconds or heat in a pan until sugar dissolves.
Pour warm syrup over the loaf immediately after baking. Let it soak while cooling in the pan.
Once cooled, whisk glaze ingredients and drizzle over the top.
Slice, serve, and enjoy!