Combine the sourdough starter, water, ¼ cup olive oil, honey, and salt in a large mixing bowl.
Add the flour a half cup at a time until it starts pulling away from the sides of the bowl.
Knead until smooth and elastic, about 10 minutes or more with stand mixer. It should pass the windowpane test.
Place dough in a greased bowl and cover. Let rise for 12- 24 hours.
Put ¼ cup olive oil in the bottom of a baking sheet lined with parchment paper.
Press dough out in parchment paper lined baking sheet with a rim, pressing fingers down in the dough carefully.
Allow to rise for a few hours.
Drizzle with a few tablespoons of olive oil and sprinkle with garlic powder and chopped rosemary.
Bake 400 for 20 minutes.