Split the whole-grain English muffin and toast until golden brown.
In a small skillet over medium heat, lightly sear the Canadian bacon slices for 1-2 minutes per side until heated through and slightly browned.
To make the lightened Hollandaise, create a double boiler by placing a heat-proof bowl over a pot of simmering water. Ensure the bottom of the bowl does not touch the water.
Whisk the Greek yogurt, one egg yolk, lemon juice, Dijon mustard, sea salt, and black pepper in the bowl continuously for 3-5 minutes until the sauce is thickened and warm.
Fill a separate wide saucepan with water and the white vinegar, bringing it to a very gentle simmer.
Crack each of the two remaining eggs into a small ramekin. Use a spoon to create a gentle whirlpool in the water and carefully drop each egg into the center.
Poach the eggs for 3 minutes for a runny yolk, then remove with a slotted spoon and drain on a paper towel.
Assemble by placing the Canadian bacon on the toasted muffin halves, topping each with a poached egg.
Generously spoon the warm yogurt Hollandaise over the eggs and garnish with freshly chopped chives.