Place the jalapeño, green onion, garlic, cucumber, cilantro, dill, lime juice, 1 cup of Greek yogurt, salt, white pepper, cumin, and olive oil in a blender.
Blend until smooth and creamy. If the mixture is too thick, add a little water or more yogurt to adjust the consistency.
Taste the gazpacho and tweak the seasoning with extra salt, lime juice, or jalapeño if needed. I personally enjoy mine with a nice kick and plenty of tang.
Let the soup chill in the fridge for at least an hour, or longer if possible. It improves as it sits, and you can even prepare it the day before.
Prepare your garnishes: dice the cucumber, avocado, and shallots, and chop the herbs.
Add a swirl of yogurt on top of the soup, thin the remaining ¼ cup yogurt with a tablespoon of water.
Pour it into bowls and drizzle a swirl of yogurt on top.
Add your chosen garnishes—avocado, cucumber, chives, and a dash of lime zest if you want a little extra flavor.
Serve right away and enjoy the refreshing, creamy, and tangy soup!