The corgi, which died at a breeding farm, will be prepared for consumption on the Bob and Roberta Smith radio programme broadcast on the London-based arts station 104.4 Resonance FM.
The head of the Food Standards Agency, Sir John Krebs, said a loophole under existing rules meant beef was exempt from strict controls if the animal was killed on a farm or at an unlicensed abattoir for the farmer's personal consumption.