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Peel cucumber, slice it open and remove the center portion with seeds, using a small spoon. Chop into small chunks and mix with the 1/2 teaspoon of salt. Set aside for 20-30 minutes.
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While the cucumber is resting with the salt (which will draw water out from the cucumber, intensifying its taste and texture), chop the avocado, shallot, and herbs.
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In a small bowl, mix the buttermilk, the Greek yogurt, and 1 tablespoon of the lemon juice, plus the lemon zest if you are using it.
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After the cucumber releases its water, rinse the chopped pieces and press them in a colander, pushing out as much of the water as possible. The chunks will begin to soften as you do that.
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Once all of the vegetables and herbs are ready, mix them withe the butttermilk, yogurt, and lemon. Blend the mixture, until the soup is velvety. Tiny specks of the herbs will remain, but the vegetables will be thoroughly pulverized.
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Refrigerate the soup for at least 30 minutes, then taste. Add more lemon juice, salt and/or pepper to taste.