It must be said that, for all the kerfuffle, there's very little helpful advice available for the potential 11 million people driving around in cars powered by the EA 189 diesel engine, possibly running VW's notorious defeat device software.
VW has yet to confirm if any UK cars are affected, although it seems likely. Meanwhile, none of the regulatory bodies seems able to offer much in the way of useful advice.
My take on it would be to recommend calm. There's no suggestion these cars are unsafe or unreliable, or any reason they shouldn't be driven.
Some will argue that their real-world NOx emissions demand they are parked up, but assuming (as we must, for now) they have passed the European NEDC cycle, then that would seem to me ridiculous.
Longer term I have no doubt VW UK will take the necessary action to rectify any problems, if any are identified. There is a well established VOSA recall procedure that is tried and tested should it prove necessary, although that is far from certain.
Assuming the problem requires attention I doubt, too, there will be long-term issues with the resale values of affected cars - the market has a habit of normalising such things. If this does prove to be an issue, I suspect that VW, now desperate for credibility, will do the right thing.