Put mozzarella cheese and butter in a bowl. Cut the 1 tbsp butter into 4 small pieces.
Cook in microwave for 45 seconds. Stir cheese and butter with silicone spatula. Cook another 45 seconds.
Then mix with silicone spatula. The mozzarella cheese should appear smooth.
Add the almond flour and egg to the mozzarella cheese mix.
Mix and fold until the almond flour and egg are well incorporated into the mozzarella dough.
Divide the dough into 4 parts. Put on silicone mat/parchment paper on a baking tray.
Roll the dough to 1/2 inch thick until 1.5x the length of the hot dog and flatten
Wrap the hot dog with dough diagonally.
Place in oven and cook for 15 minutes at 400°F or Air Fry on parchment paper at 400°F for 8 minutes.
Notes
The dough gets very sticky. Wet hands with water if you do not have a silicone spatula to mix the almond flour and eggs into the mozzarella cheese and butter.
If you do not have a silpat, you can use parchment paper instead.
The traditional fathead dough recipe uses cream cheese. I replaced with butter to achieve a more buttery taste.