Shred the cucumber using a box grater. Place it in a clean kitchen towel and squeeze out as much moisture as possible. Do not skip this step, it is the key to a thick, creamy tzatziki.
In a medium bowl, combine the Greek yogurt, finely grated garlic, and salt. Stir until smooth and well incorporated.
Mix in the lemon zest, lemon juice, and extra virgin olive oil until fully combined.
Gently fold in the drained cucumber, wine vinegar, and fresh dill until evenly distributed throughout the sauce.
Adjust seasoning with additional salt, lemon juice, or a touch more dill as desired.
Cover and refrigerate for at least 30 minutes before serving to allow the flavors to meld.
Before serving, drizzle with a touch of olive oil and sprinkle with a little extra fresh dill if desired.