Whisk the Greek yogurt, lemon juice, Dijon mustard, and turmeric in a small heat-safe bowl until smooth.
Place the bowl over a pot of simmering water (double boiler style) and whisk constantly for 2-3 minutes until the sauce is warm and slightly thickened, then set aside.
Split the whole wheat English muffin and toast until the edges are golden brown and crisp.
In a non-stick skillet over medium-high heat, sear the Canadian bacon slices for 1-2 minutes per side until heated through and slightly caramelized.
Fill a medium saucepan with water and the white vinegar, bringing it to a very gentle simmer.
Crack each egg into a small ramekin, create a gentle whirlpool in the water with a spoon, and carefully drop the eggs into the center.
Poach the eggs for exactly 3 minutes for a set white and a liquid gold yolk, then remove with a slotted spoon and pat dry on a paper towel.
Place the toasted muffin halves on a plate, layer each with the seared Canadian bacon, and top with a poached egg.
Generously drizzle the warm yogurt hollandaise over each egg and garnish with sea salt, black pepper, and minced fresh chives.