In a mixing bowl, combine warm water and honey. Sprinkle the active dry yeast over the water and let it sit for about 5-10 minutes until frothy.
In another bowl, whisk together the gluten-free flour, salt, and baking powder.
Once the yeast mixture is frothy, add the olive oil and apple cider vinegar to it. Mix well.
Gradually add the dry ingredients to the wet ingredients, stirring with a spatula until a smooth batter forms.
Pour the batter into a greased loaf pan, spreading it evenly. Use a spatula to smooth the top if necessary.
Cover the loaf pan with a clean kitchen towel and let it rise in a warm area for about 30 minutes, or until it has slightly increased in size.
Preheat the oven to 375°F (190°C).
Once the dough has risen, place the loaf pan in the preheated oven and bake for 40 minutes, or until the top is golden brown and a toothpick inserted in the center comes out clean.
Remove the bread from the oven, let it cool in the pan for about 10 minutes, then transfer it to a wire rack to cool completely before slicing.