Season the tomato slices generously with salt and pepper and let sit while you cook the eggs.
Melt the butter in a skillet over medium heat. Crack in the eggs, season with salt and pepper, and cook to your preferred doneness. During the last minute of cooking, top the eggs with the smoked Gouda and cover the skillet until the cheese is melted.
While the eggs cook, lightly butter the brioche and toast in a skillet until golden.
Spread dijon on slices of brioche. Then add a slice of seasoned tomato, a layer of bacon jam, then the cheesy egg. Close sandwich and enjoy!