Remove the feta block from its brine and rinse it under cold water to remove excess salt. For the best aeration, let the feta and Greek yogurt sit at room temperature for 20 minutes before starting.
Place the rinsed feta, Greek yogurt, olive oil, lemon juice, and minced garlic into a food processor.
Turn the food processor on high. Process for 2 to 3 minutes. Don't stop when the chunks disappear! Keep going to incorporate air until the mixture is glossy, thick, and perfectly smooth.
While the feta is whipping, combine the honey, red pepper flakes, and smoked paprika in a small saucepan. Heat over low heat just until warm and fragrant. Do not let it boil. Remove from heat and let it cool slightly to a pourable glaze.
Spread the whipped feta onto a shallow plate or wooden board. Use the back of a spoon to create deep swirls and valleys in the cheese.
Pour the warm hot honey into the center of the feta, allowing it to pool in the swirls. Sprinkle with fresh herbs and serve immediately with toasted pita, crackers, or sliced cucumbers.
