To make the dough: In a deep bowl, mix the yeast, sugar, and warm water. Set the mixture aside for about 5-10 minutes until it becomes frothy.
Add the yogurt, egg, and vinegar, and mix well.
Add the gluten-free flour, rice flour, and salt. Knead well with your hands, adding the oil gradually, until you get a sticky and cohesive dough.
Place the dough in a bowl greased with oil, cover it, and let it rest for about 15 minutes.
Spread the dough evenly on a medium-sized baking tray lined with parchment paper, greased with oil, and lightly dusted with flour.
Spread the pizza sauce evenly over the dough. Then, distribute the tomato slices and thyme, and sprinkle the cheese on top.
Preheat the oven to 190°C (375°F).
Place the pizza tray in the oven for about 20 minutes until fully cooked, then serve.