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Preheat the oven to 425°.
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If it is the next day, take the remaining goat cheese out of the fridge and let it come to room temperature.
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Peel and core the apples and cut them into ½ inch slices
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In a bowl, toss the apple slices with the lemon juice and 1 tablespoon of the brown or turbinado sugar.
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Heat a skillet to medium heat with the butter and sauté the apple slices until starting to get tender, about 10 minutes.
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Stir in 1 tablespoon of flour and 1 teaspoon of the thyme and set aside to cool while you roll out the crust.
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On a floured work surface, roll the dough out into a 12-inch round rough circle. It doesn't need to be a perfect circle. Just try to get it as round as possible.
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Transfer the rolled-out pastry to an ungreased baking sheet. I like to line it with a piece of parchment for easy clean-up.
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Spread the remaining goat cheese over the dough, leaving a 2-inch border.
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Arrange the apple slices over the goat cheese again, leaving the 2-inch border.
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Fold the border over the apple and cheese mixture, pleating the edge to make it fit. The center will still be open.
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Sprinkle the remaining tablespoon of the turbinado or brown sugar over the pleated crust edges.
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Bake the galette for 35 to 40 minutes or until the pastry is nicely golden brown and the apples are bubbling.
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While the galette is still hot, drizzle the honey over the tart and sprinkle the remaining thyme over the top.
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Cut into wedges and serve hot, warm, or at room temperature.