Well, there's no 'Dr Umamaheswar Alaparti' to be found on the form at
https://webcache.gmc-uk.org/ods/home.do, so I've emailed them asking for whatever details they have otherwise, if indeed he's even registered with them.
And now I'm perusing
http://www.gmc-uk.org/concerns/complain/guide.asp to see what my options are in that direction.
Meanwhile I'll track down an actual email address or postal one on
http://www.theyworkforyou.com/mp/clive_efford/eltham so I can be sure that whatever missive I send to him gets there. Poking my MP seems the best way to raise a fuss about the DWP to be honest, but I'll also be looking over their website to see if I can find the necessary information for making a complaint about the service, or lack thereof, before details about that arrive in the post.
That's next.