Medal of Distinction
From Battlestar Wiki, the free, open content Battlestar Galactica encyclopedia and episode guide
The Medal of Distinction is a decoration in the Colonial Fleet.
Apparently a prestigious decoration, it is awarded for, among other heroic reasons, long years of distinguished service in the Fleet. Admiral William Adama is awarded the Medal of Distinction some weeks after the Battle of New Caprica, as much for public morale as for having earned it (Hero).
The medal is a version of the Colonial emblem on a red ribbon worn around the neck.