On a griddle, over medium-high heat, melt 1 tablespoon of coconut oil. Fry your egg in it.
There will be some remaining oil on the griddle. Place two slices of bread on the griddle and toast each side.
Top with the remaining 1/4 cup cheese and finally the last slice of bread. Flip after 30 seconds or so. This will allow the cheese to melt on both sides.