Correct - it is indeed Shiny Sheff! H.M.S. Sheffield took part in the operation to sink the Bismarck, amongst other actions and was eventually scrapped in 1967.
The photo was taken during 'EX STRIKEBACK' in the Atlantic during Sep 1957. A NATO exercise which involved a mere 6 navies, over 200 warships, 650 aircraft and 75000 personnel.....
Makes a JMC seem a bit lame.