Blue cheese is usually safe for dogs
It’s best to avoid giving your dog blue cheese (e.g. Gorgonzola, Stilton, Roquefort). While eating blue cheese will most likely not cause any issues, overripe blue cheese can create a neurotoxin, Roquefortine, which is toxic to dogs. This can cause vomiting, diarrhea, shivering, elevated heart rate, rapid breathing, and seizures.
Similar to other cheeses, blue cheese is also high in fat which can cause pancreatitis, and obesity over time. Some dogs may have lactose intolerance and eating blue cheese can lead to gas, bloating, and diarrhea.