Split the whole-wheat English muffin and toast the halves until golden brown and crisp.
In a small skillet over medium heat, sear the Canadian bacon slices for 1-2 minutes per side until warmed through.
Fill a medium saucepan with 3 inches of water, add the white vinegar, and bring to a very gentle simmer.
To make the lightened Hollandaise, whisk the egg yolk, lemon juice, Dijon mustard, and Greek yogurt in a small heat-safe bowl.
Place the bowl over the simmering water (ensuring the bottom doesn't touch the water) and whisk constantly until the sauce thickens.
Slowly whisk in the melted ghee until the sauce is smooth; season with sea salt, black pepper, and cayenne, then remove from heat.
Carefully crack each egg into a small ramekin and slide them into the simmering water; poach for 3 minutes until the whites are set but yolks are still soft.
Place the toasted muffin halves on a plate, top each with the seared Canadian bacon and a poached egg.
Spoon the warm Hollandaise sauce over the eggs and garnish with freshly chopped chives.