Words can have technical meanings which may be different to your expectation of common usage. In this case "natural cheese" and "processed cheese" are specifically defined by food standard regulations, for instance the US FDA. "Processed food" is typically means "tertiary processed food", also defined by the US FDAAlso, all cheese is "processed". First, the cream is cooked, then and acid is added to make curds, and then depending on the kind of cheese you want to make you do something else to it. Cheese is a processed food product. Cheese wouldn't exist if we didn't' process the cream to get it.