Melt the coconut oil in a large skillet over medium heat. Add steak slices; cook for 5 minutes or until browned.
Salt and pepper to taste then add thyme, mushrooms and cauliflower.
In a medium bowl, combine next 4 ingredients (coconut milk through green onions); salt and pepper to taste.
Pour sauce over steak mixture; simmer for 10 minutes or until steak is cooked to desired level of doneness and vegetables are tender.