Preheat the oven.

In a bowl, combine all-purpose flour and 1/2 teaspoon salt. Gradually add boiling water and mix until a dough forms.

Roll out the dough and cut it into squares.

In another bowl, mix diced apples, lemon juice, 1/2 cup sugar, cornstarch, 1/4 teaspoon salt, cinnamon, nutmeg, and vanilla extract.

Place some apple filling on each square of dough, fold, and seal the edges.

Heat vegetable oil in a deep fryer.

Fry the dumplings until golden brown, then remove and drain on paper towels.

For the miso caramel sauce, melt 1 cup granulated sugar until golden, then carefully add heavy cream and miso, stirring until smooth.

Serve dumplings warm with miso caramel sauce drizzled on top.