In a small heat-safe bowl, whisk the egg yolk, Greek yogurt, lemon juice, and Dijon mustard until completely smooth.
Gently melt the ghee in a small pan and slowly drizzle it into the yogurt mixture while whisking constantly to create a creamy, emulsified sauce.
Fill a medium saucepan with water and the white vinegar, bringing it to a very gentle simmer over medium-low heat.
Toast the English muffin half until golden brown and crisp to provide a sturdy base for the toppings.
In a separate skillet over medium heat, lightly sear the Canadian bacon for 1-2 minutes per side until warmed through and slightly caramelized.
Crack the eggs into individual ramekins, then carefully slide them into the simmering water; poach for 3 minutes until the whites are set but the yolks remain runny.
Place the toasted muffin on a plate, top with the seared Canadian bacon, and then carefully place the poached eggs on top.
Spoon the warm lemon-yogurt hollandaise sauce over the eggs and garnish with sea salt, black pepper, and finely chopped fresh chives.