Step 1 In a wide, deep soup pot, heat the olive oil over medium heat. Add the onions and cook, stirring frequently, until soft, about 5 minutes. Add the carrots, green onions, fennel bulb, potatoes and fennel seeds, stir to coat with the oil and cook an additional 3 minutes.
Step 2 Add the greens in batches, starting with the larger leaves and gradually adding the smaller, more tender ones. Stir a few times to help the leaves wilt and reduce in size, then add the wine and cook for 1 minute; add the water, the preserved lemon and salt to taste.
Step 3Reduce the heat to low and simmer until the greens and potatoes are tender and most of the juices have been absorbed, 15 to 20 minutes. If there is still too much liquid, raise the heat to high and continue to cook until the liquid is reduced, up to an additional 10 to 15 minutes.
Step 4Add the lemon juice, half the dill, the fennel fronds and stalks and sprinkle with the red pepper; toss, taste and adjust the seasonings as desired. Cook an additional 2 minutes to marry the flavors, then sprinkle with remaining dill.
Step 5Serve warm or at room temperature, drizzled with the good, fruity olive oil.