In a mixing bowl, combine the warm water and honey. Sprinkle the yeast over the mixture and let it sit for about 10 minutes until it becomes frothy.
In a separate bowl, whisk together the gluten-free rye flour, all-purpose flour, xanthan gum, and salt.
Pour the yeast mixture into the dry ingredients, add the olive oil and apple cider vinegar, and mix until a dough forms. If you have a stand mixer, you can use it with a dough hook attachment for easier mixing.
Knead the dough on a floured surface for a few minutes until it's smooth and elastic.
Shape the dough into a loaf and place it in a greased loaf pan. Cover it with plastic wrap and let it rise for about 30-45 minutes.
Preheat your oven to 375°F (190°C).
Remove the plastic wrap and bake the bread for 35-40 minutes or until it's golden brown and sounds hollow when tapped.
Allow the bread to cool before slicing.