Remove feta from brine and pat completely dry with paper towels.
Lay one sheet of phyllo dough flat and brush lightly with butter/oil. Repeat with remaining sheets, stacking them on top of one another.
Place the dry feta block in the center of the stacked phyllo dough.
Fold the edges of the phyllo up and over the feta to enclose it entirely like a wrapped present. Brush the outside with the remaining butter/oil.
Heat a skillet over medium heat with a small amount of oil, or preheat an oven to 400°F (200°C).
Pan-fry for 3-4 minutes per side until golden brown, or bake seam-side down for 15-18 minutes.
Remove from heat, transfer to a serving plate, and drizzle generously with hot honey.
Garnish with sesame seeds and fresh thyme. Serve immediately.