Pat the swordfish dry with a paper towel, and season them liberally with salt and pepper on both sides. Pour lemon juice over the swordfish and refrigerate for 15 minutes.
While the swordfish is marinating, place all ingredients of the lemon basil sauce in a blender and blend until smooth. If the sauce is too thick, add more water until it becomes the right consistency. Set aside.
Heat a coconut oil in a skillet over medium high heat.
Place the steaks in the pan and cook for 6 minutes, flipping halfway through.
Drizzle lemon basil sauce over the steaks and serve with delicious veggies!