Preheat the oven to 350 F and line a loaf pan with parchment paper. Combine the almond flour, psyllium husk powder, baking powder, salt, oregano, and garlic powder in a large bowl.
Add the eggs, olive oil, and warm water. Mix until a thick dough forms, then rest for 2 minutes.
Fold in the chopped olives and sun-dried tomatoes so they are scattered evenly through the dough without crushing them.
Press the dough into the loaf pan and smooth the top. Bake for 40 to 50 minutes until golden brown and firm.
Cool completely on a wire rack before slicing. The crumb is soft and savory with briny olive flavor in every bite.