Do you mean an auxilliary diesel engine? The main is a nuclear one. Can't see the blue or black smoke either. Looks indeed like steam to me.
The diesel was the only power source running, they shut down the reactor. Not to mention that reactors don't require an exhaust stack, and don't discharge very hot cooling water over the side at deck level just aft of the sail so it should be fairly obvious that the plume originates from the donk (donkey engine) the auxiliary diesel or EDG, whatever the Brits care to call it. If you look at the videos of the incident you will see that a plume of smoke exists beyond the point where the water vapor has dissipated. The color of the smoke is difficult to determine but it's either lube oil or overload because it isn't white and the donk has been online for a considerable period by the time the videos were taken. That is evident because the overboard is hot enough to create a cloud of water vapor at the discharge. If this boat ever had to sneak out of hostile waters after a loss of reactor power it may as well just fly a big flag and turn on the locator beacon because the thermal signature and vapor plume is awesome.
Poor old 'Stumpy' , he lost a finger in an earlier accident. You must remember that this Sub sailed the morning after Trafalgar Night. Trafalgar Night is the biggest celebration in the Royal Navy calendar, much rum is taken and Lord Nelson is honoured for a great victory. Many a hangover is suffered!!!