In a small bowl, whisk together the Greek yogurt, melted butter, lemon juice, Dijon mustard, turmeric, sea salt, and black pepper until smooth.
Set the sauce bowl over a small pot of simmering water for 2 minutes, whisking constantly until just warm, then remove from heat.
Fill a medium saucepan with water and the white vinegar, bringing it to a gentle simmer.
Crack each egg into a small ramekin, create a gentle whirlpool in the simmering water, and carefully drop the eggs in to poach for 3 minutes.
While eggs poach, toast the English muffin half and sear the Canadian bacon in a dry skillet over medium-high heat until browned.
Place the toasted muffin on a plate, layer with the seared Canadian bacon, and top with the poached eggs.
Drizzle the warm yogurt hollandaise over the eggs and garnish with fresh chives.