Re: 13 Department Heads?
^I think perhaps you are being too specific, it might be more general. i.e. How many/who is in sickbay maybe not the reasons as to why.
On the continent of wild endeavour in the mountains of solace and solitude there stood the citadel of the time lords, the oldest and most mighty race in the universe looking down on the galaxies below sworn never to interfere only to watch.