Add crumbled feta cheese, Greek yogurt, and heavy cream to a food processor fitted with the metal blade attachment. Pulse until the mixture reaches soft peaks stage—about 90 seconds total. Overblending creates grainy texture, so stop while flecks of feta remain slightly visible. The goal is cloud-like consistency, not paste.
Transfer the whipped base to a medium bowl and fold in minced garlic, lemon juice, oregano, and half the red pepper flakes using a rubber spatula—about 8 deliberate strokes. Add sea salt and black pepper to taste. This folding technique prevents deflating the air you've incorporated.
Drizzle honey over the creamy whipped feta honey dip surface and let it pool slightly before stirring gently to create ripple effect. Reserve 1 tbsp honey for final garnish. The honey should taste balanced—sweet but not cloying—so adjust upward only if your feta tastes particularly sharp.
Transfer to a serving bowl and create a shallow well in the center using the back of a spoon. This well becomes the stage for final garnish. The presentation matters as much as flavor for fall entertaining, so take 20 seconds to shape it intentionally.
Drizzle reserved honey into the center well, add chopped fresh dill across the surface, scatter toasted walnuts, and finish with remaining red pepper flakes and fresh thyme sprigs. Pour excellent olive oil around the outer edge—about 2 tbsp total. Serve immediately with crackers, cucumber slices, or pita chips.