Preheat your oven to 350°F (175°C). Grease an 8-inch springform pan thoroughly and line the bottom with parchment paper. This ensures the cheesecake releases easily after baking.
Add the beetroot puree, feta cheese, Greek yogurt or cream cheese, eggs, lemon juice, lemon zest, dill, black pepper, and salt to a blender. Blend until completely smooth and creamy. The mixture should have a beautiful vibrant color.
Pour the blended mixture into the prepared springform pan. Smooth the surface gently with a spatula to create an even top. This helps the cheesecake bake uniformly.
Place the pan in the preheated oven and bake for 30 to 35 minutes. The edges should appear set while the center remains slightly wobbly. Avoid overbaking to maintain a creamy texture.
Turn off the oven and leave the cheesecake inside with the door slightly open. Allowing it to cool gradually helps prevent cracks and preserves a smooth surface.
Once the cheesecake reaches room temperature, transfer it to the refrigerator. Chill for at least 2 to 3 hours so it can fully set and develop its flavor.
Place the roasted pistachios into a food processor or use a mortar and pestle. Grind them into fine crumbs that will create a beautiful crunchy topping.
Remove the chilled cheesecake from the pan carefully. Sprinkle generously with pistachio dust and finish with fresh dill, lemon zest, and a light drizzle of olive oil before serving.