The problem with SHORT COMMUTES on the diesel is that it will never warm up properly to burn off deposits and see peak efficiency.
Most engines require 10-15 miles of driving to prevent crankcase condensation and other issues due to not reaching and maintaining operating temperatures (moisture in exhaust causing rust, etc)
With diesels the same problems can happen but even more so since diesels use compression to ignite the diesel fuel and peak efficiency is only achieved once the pistons and rings expand at operating temps.
Plus the car will never regenerate the particulate filter properly as it need high temps/long distances to do this. Once blocked the DPF is either a dealer regen or DPF replacement which will cost you $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ and unlikely to be covered in the warranty as you've bought an unsuitable car for the type of driving and mileage. Ignore the DPF warning light at your peril.
You must be honest about your driving distances to the dealer when buying. They should (whistle)advise whether petrol or diesel will be suitable for your needs.