Preheat oven to 350°F (175°C) and line an 8x4-inch loaf pan with parchment paper.
In a mixing bowl, whisk almond flour, baking powder, salt, psyllium husk, and xanthan gum (if using).
In a separate bowl, beat the eggs. Stir in the Greek yogurt and olive oil until smooth.
Combine wet and dry ingredients. Mix until just combined—do not overmix.
Pour batter into the prepared loaf pan and smooth the top.
Bake for 35–40 minutes until golden and a toothpick comes out clean.
Cool in the pan for 10 minutes, then transfer to a wire rack. Cool completely before slicing.