Split the whole wheat English muffin and toast until golden brown and crisp.
In a small skillet over medium-high heat, sear the Canadian bacon slices for 1-2 minutes per side until heated through and slightly browned.
Fill a medium saucepan with water and add the white vinegar; bring to a very gentle simmer.
Crack each egg into a small ramekin, then carefully slide them into the simmering water. Poach for 3-4 minutes until the whites are set but the yolks remain runny.
While the eggs poach, prepare the clean hollandaise by whisking together the Greek yogurt, melted ghee, lemon juice, Dijon mustard, sea salt, and black pepper in a small heat-safe bowl.
Place the bowl over the simmering water for 30 seconds, whisking constantly, just to take the chill off the yogurt without curdling it.
Place two slices of Canadian bacon on each toasted muffin half.
Use a slotted spoon to lift the poached eggs from the water, blotting the bottom of the spoon with a paper towel to remove excess moisture, and place one egg on each muffin half.
Spoon the warm yogurt hollandaise generously over the eggs and finish with a light dusting of paprika.