In a small bowl, mix the yeast with the water. Let sit for 10 minutes or until dissolved. In a microwave safe measuring cup, add milk and heat for 2 minutes until boiling in microwave. In a large bowl, add the white chocolate chips and milk. Stir until melted. Using a mixer with a bread hook (or you may mix by hand), add the butter, sugar, salt, vanilla, and pumpkin. Stir well. Check the temperature of the liquid, if it is more than 110 degrees F, let set and cool down until it reaches between 105 and 110 degrees F. Stir in the yeast and water mixture. Add in the egg and 3 3/4 cups flour, 1 cup at a time. On a clean countertop, add a little of the additional flour and knead the dough for 3 minutes. Continue to knead and add in the pecans as you knead the dough. Continue to knead until smooth and elastic. Dough will be slightly sticky. Let rise in a warm spot for 1 1/2 to 2 hours.
Preheat the oven to 350 degrees F.
Using a tablespoon, scoop out the dough and shape into little round balls. Put on a greased or parchment lined baking sheet. Let rise for at least 1 hour but no more than 1 1/2 hours. Bake for 10 minutes or until lightly brown on the bottom. Take out of the oven and let cool.
To make the Filling: In a small bowl mix together the pudding, pumpkin, and cinnamon. Fill a pastry bag with a star shaped tip and add the pudding mix. Using a sharp knife, cut a small 3 sided-hinged square on the bottom of each bun. Insert the pastry bag and squirt in just enough filling to add a surprise when bitten. Close the hinge.
To make the Glaze: In a small bowl add all the glaze ingredients with just enough milk to make a thin paste. Mix with a spoon. Put into the microwave for 10 seconds to make it more of a glaze consistency. Drizzle some of the glaze back and forth on top of the bitty buns.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.