Michael,
Labrids (Wrasse) are sexually dimorphic, where juveniles, males and females all can differ in both coloration and appearance. These incredible fish are also protogynous hermaphrodites, and have the ability to change sex. As they grow larger and mature, these fish metamorphous from an initial phase of either a male or female, and for some finally into a Terminal Phase Male. Numerous internal and external factors can influence the outcome of what phase an individual fish will develop into.
A Terminal Phase Male is the dominant fish in the group or harem. Terminal Phase Males routinely display brilliant coloration, and rule the harem taking priority on both food and spawning. Smaller more drab and more docile males are considered Initial phase males.
We have maintained the fish in question in a 4 foot long aquarium with numerous females and a few other smaller, less vibrant Initial Phase Males. Referencing this Flame Wrasse as a Terminal Phase male is based on the observation of its behavior of dominating the group, as well as by its display of vivid and bold coloration.
I wish we were able to photograph the fish in all its glory as the image posted in the Divers Den for this Cirrhilabrus does not do the fish the justice it deserves.