Whisk the Greek yogurt, lemon juice, Dijon mustard, turmeric, salt, and pepper in a small bowl until smooth.
Place the bowl over a pot of simmering water (double boiler) and whisk constantly for 2-3 minutes until the sauce is warm and velvety, then set aside.
Fill a medium saucepan with water and add the white vinegar, bringing it to a very gentle simmer.
Crack each egg into a small ramekin, then carefully slide them into the simmering water and poach for 3 to 4 minutes until the whites are set but the yolks remain runny.
While the eggs poach, toast the English muffin halves until they are golden brown and crisp.
Heat a skillet over medium-high heat and sear the Canadian bacon slices for 1 minute per side until slightly browned.
Place two slices of Canadian bacon on each toasted muffin half, top with a poached egg, and spoon the warm yogurt hollandaise over the top.
Garnish with freshly chopped chives and serve immediately.