Preheat the oven: Set your oven to 375°F (190°C) and grease a 9x5-inch loaf pan or line it with parchment paper.
Mix dry ingredients: In a large mixing bowl, whisk together the gluten-free flour, baking powder, salt, and sugar.
Combine wet ingredients: In another bowl, whisk together the eggs, milk, olive oil (or melted butter), and apple cider vinegar.
Combine wet and dry ingredients: Add the wet ingredients to the dry ingredients and stir until just combined. The mixture should be thick but smooth. Add cheese: Gently fold in the shredded cheddar cheese to ensure it’s evenly distributed throughout the dough.
Transfer to pan: Pour the dough into the prepared loaf pan and smooth the top with a spatula.
Bake: Place the pan in the oven and bake for 45 to 50 minutes, or until the top is golden and a toothpick inserted into the center comes out clean.
Cool and serve: Let the bread cool in the pan for 10 minutes before transferring it to a wire rack to cool completely.