Preheat oven to 350 degrees F (175 degrees C). Grease and flour a loaf pan.
Put apricots and water in a bowl. Let stand until cool, about 10 minutes.
Drain apricots; mix soaking water with orange juice.
Beat egg in a large bowl until thick and lemon-colored. Add water-orange juice mixture, baking mix, and sugar in an alternating fashion; mix until well combined. Fold in apricots. Pour batter into loaf pan.
Bake in the preheated oven until a toothpick inserted into the center comes out clean, 45 to 55 minutes. Cool in the pan for 10 minutes before removing to cool completely on a wire rack.