Place the Butterfly attachment into the Thermomix bowl. Pour the cream into the bowl and whip on Speed 4 for a few minutes (until the cream and buttermilk have separated). Remove the Butterfly attachment.
Use the simmering basket (or a sieve) to seperate the butter from the buttermilk. *Reserve the buttermilk for later use.
Place the butter back into the Thermomix bowl. Add the chilled water. Mix for 10 seconds, Speed 4 or until the butter and water have separated again.
Repeat 3-4 more times or until the butter is completely free of any excess buttermilk (the water should run clear). Squeeze out any additional water and shape into a log. Wrap in plastic wrap. OR FOR SALTED & SPREADABLE BUTTER: Insert the Butterfly into the machine and add the butter back in. Add ½ teaspoon of salt. Add oil (of your choice) 1 teaspoon at a time, while whipping on Speed 4 (until the butter reaches your desired consistency).