Your cheese has more than likely been made with genetically engineered rennet. In fact, according to About.com, up to 70% of store-bought cheese products are.
Unless genetically engineered crops (GMOs) are restricted, then our choice to grow and eat non-GMO will be a moot point because contamination will have ended our ability to choose.
While organic farmers try and figure out how to survive in the face of what appears to be an unstoppable government backed onslaught on their very right to exist, biotech firms along with their flunky farmers are doing the happy dance. Why? Because they are apparently immune from any type of liability if their GMO crops contaminate and ruin organic farms.
If it has been irradiated, chemically bathed with toxic, carcinogenic chemicals and mutated to within an inch of its life, it is not truly organic, even if it is USDA Certified.