Preheat the oven to 365°F(185°C).
Add sugar and lemon zest to combine until fully combined, place aside.
Whisk the cake flour, baking powder, baking soda, and salt together well and sift in a bowl, place aside.
In a different bowl with an electric mixer or in the bowl of a stand mixer fitted with a paddle attachment, beat the butter with the sugar mixture until fluffy.
Add the eggs one at a time and beat in well.
Beat in the lemon juice and the cream(or the yogurt).
Add the flour mixture with mixer on low, starting with 1/2 the flour, then finally the rest of the flour.
Scrape the flour mixture into prepared 5.75 * 3-inch loaf pan. Bake in preheated oven for 45 minutes, or until a tester inserted in the centre comes out clean.
Let stand 10 minutes. Remove the cake from pan and let cool on a rack.
Prepare the glaze, adding the lemon juice and the icing sugar to make a pourable glaze. Brush glaze over cooled cake. Cool completely, then slice.
Finish and enjoy your time.