Clean the turnip, cut in half and cut and peel 4 thin slices for garnishing. Cut the remaining turnip into thick slices, peel and dice. Cut bacon into strips. Heat oil in a pot, fry bacon and turnip slices for about 4 minutes while turning, remove. Put the diced turnip into the pot and sauté for about 5 minutes while turning. Fill up with stock. Add peas, up to 8 tablespoons, bring to the boil and cook for about 10 minutes.
Wash the thyme, shake dry, pluck leaves from the stems and add to the soup, except for a few for garnishing. Finely puree the soup with a hand blender. Add the remaining peas. Season to taste with salt and pepper. Arrange the soup in small bowls and add 1 teaspoon of crème fraîche to each bowl. Garnish with bacon, beetroot slices and remaining thyme leaves