Preheat oven to 450 degrees. Cover a round 12-inch pan in foil and lightly sprinkle with cornmeal (this will help prevent sticking when you cook your pizza).
Melt butter and olive oil in a large skillet over medium heat. Add garlic and let cook for about 1-2 minutes. Add in red pepper flakes and cook for 30 more seconds.
Add shrimp to the skillet in an even layer and season with a little salt and pepper. When shrimp start turning pink (about 2 minutes), flip and cook another minute or so on the other side. When cooked through, remove shrimp to a bowl and set aside.
Add lemon juice and wine to skillet and sprinkle in parsley. Let sauce cook for a few minutes to reduce a bit.
On a lightly floured surface, roll dough out into a thin 12-inch round. Transfer round prepared pan. Brush dough lightly with lemon/parsley reduction.
Sprinkle feta cheese and parmesan over the pizza and top with the shrimp.
Bake for about 15 minutes until crust starts to brown and cheese is melting. Top with additional chopped parsley, slice, and serve.