Add yeast to 1/2 cup of room temperature water. Stir with a spoon and set aside while you prep the other ingredients
In the bowl of a stand mixer, add shortening, sugar, hot water and salt & beat for 30 seconds. Allow to cool to room temperature.
Add in 2 cups of flour & mix until smooth.
Mix in yeast mixture until well combined.
Mix in the beaten eggs.
Gradually stir in the remaining flour & mix with the dough hook -about 2 minutes.
Remove dough from the bowl & place on a lightly floured counter. Coat hands in flour & knead by hand, add a little flour if the dough is still too sticky. Knead until dough feels smooth.
Put the dough in a greased bowl & cover with a towel. Let dough rise for 30 minutes or until it doubles in size.
Remove dough from bowl & place on a lightly floured counter again. Roll dough into a rectangle.
Spread butter over dough. Sprinkle dough with brown sugar & cinnamon/sugar mixture.
Spread apple pie filling on top. Gently roll up dough into one long roll.
Cut rolls into 12 even slices using a dough cutter. Place rolls into a greased 9X13 baking pan. Place rolls in a warm spot & cover with a towel. Let rolls rise until double in size, about an hour.
Bake rolls at 425 degrees F for 10 minutes.
Reduce temperature to 350 degrees F and bake for an additional 7-10 minutes or until golden brown.
Remove pans from oven and let cool on a wire rack.
Frosting
In a small bowl, combine milk & confectioners sugar, whisk until smooth.