In a small bowl, mix the warm water, honey, and active dry yeast. Set aside for 5 minutes until frothy.
In a stand mixer, combine the gluten free all-purpose flour, olive oil, eggs, salt, apple cider vinegar, and the activated yeast mixture.
Beat on medium-high speed for 3 to 4 minutes. The batter should look like a very thick cake batter rather than traditional bread dough.
Pour the batter into a greased 9x5 inch loaf pan and smooth the top with a wet spatula.
Cover the pan loosely with plastic wrap and let the batter rise in a warm area for 45 to 60 minutes, until it reaches the rim of the pan.
Preheat your oven to 375F.
Bake for 45 to 50 minutes until the top is deep golden brown and the internal temperature reaches 205F. Cool completely on a wire rack before slicing.