Make the bread: place a tablespoon of butter in a microwave safe cereal bowl (bottom should measure about 3 inches). Microwave until melted, about 30 seconds. Allow to slightly cool. Using a fork, mix in one egg, 1 tablespoon coconut flour and ¼ teaspoon baking powder. Microwave on high for 90 seconds. Allow to slightly cool, then carefully slice into two slices.

Cook the egg and toast the bread: Heat a nonstick skillet over medium heat. Spray with olive oil spray. Break one egg into the skillet (use a greased round egg mold if you want a round shape). Cook on both sides until done to your liking. Add the two slices of bread as well, lightly browning them on each side.

Assemble the breakfast sandwich: Place one slice of bread on a plate. Top with a slice of cheese, a slice of ham, and the fried egg. Place the second slice of bread on top. Serve immediately.