In a large pot, heat 1 tablespoon of olive oil over medium heat. Add the onion and carrot, and sauté until softened, about 5-7 minutes.
Stir in the garlic, oregano, and salt, and cook for another minute until fragrant.
Add the vegetable broth and diced sweet potato to the pot. Bring the mixture to a boil, then reduce to a simmer, cooking until the sweet potatoes are tender, about 10-12 minutes.
Stir in the kale and cook for an additional 5 minutes until wilted.
Once the kale is tender, stir in the lemon juice, remaining olive oil, and coconut cream to thicken the soup and enhance the richness.
Taste and adjust seasoning if necessary, adding more salt or lemon juice to balance the flavors.
Serve hot, garnished with fresh basil leaves and optional lemon wedges on the side.