Add the yeast to the lukewarm water. Let stand as you prepare the dough.
Prepare the dough:
Place the cold shortening, granulated sugar, and salt in a large mixing bowl. Set aside.
Boil the water:
Place 1 cup of water in a saucepan and bring it to a boil. Turn off the heat and pour the boiling water over the cold shortening. Whisk to dissolve the shortening, sugar, and salt into the water. Let stand until the temperature of the water drops to lukewarm, about 100ºF and 110ºF.
Finish the dough:
Add the egg and dissolved yeast to the mixing bowl and whisk until combined.
Add the sifted flour and stir with a rubber spatula to incorporate the flour until a soft dough forms.
Rise the dough:
Cover the bowl with plastic wrap or a plate. Let the dough rise for 2 hours on the counter or up to 12 hours in the refrigerator. See Note 1.
Make the rolls:
Preheat oven to 425ºF. Lightly grease an 8x8 cake pan.
Remove the cover from the mixing bowl and gently punch down the dough to form a loose dough ball. Grease your hands with butter or shortening and begin pinching off the dough into tablespoon-sized balls. Add them to the cake pan. You should have 4 rows of 5 rolls. It’s okay if the rolls touch.
If desired, sprinkle flaky sea salt over the rolls.
Bake the rolls:
Transfer the rolls to the preheated oven for 20 minutes. Remove from the oven and let stand for 5 minutes.
To serve:
Turn the rolls out of the cake pan and break them into individual rolls. Transfer them to a serving plate or a bread basket. Enjoy! You can store homemade rolls in an airtight container on the counter for 3 to 5 days. Alternatively, you can freeze these rolls in an airtight container for up to 3 months.
Notes
Note 1: You can allow the dough to rise in the refrigerator for the entire time, but I prefer it to rise on the counter at room temperature for 2 hours.