Preheat the oven to 350°. In a small bowl, stir together the honey and tea; let cool. In a medium bowl, stir together the flour and baking soda. In a large bowl, using a handheld mixer at medium-high speed, beat half of the granulated sugar with the egg yolks until thick and pale, about 2 minutes. Slowly drizzle in the olive oil, beating until thickened, then beat in the honey-tea mixture and the dry ingredients in alternating batches.