From my recollection multicolor fairy wrasse isn't used as a common name for this specific wrasse. But then again you can call the majority of wrasses (fairy, hogfish, maori, coris, cleaner, etc). A few fish stores do call a lot of wrasses by that name
Here's some more information and some pictures.
Cirrhilabrus Aurantidorsalis
Common Name: Orangeback / Goldback Fairy Wrasse
Species Name: Cirrhilabrus aurantidorsalis Allen & Kuiter 1999
Range: Western Pacific Ocean: Sulawesi, Indonesia
Size: Up to 3 in (7.5 cm)
Natural Environment: Inhabit shallow lagoon rubble areas
General Husbandry: Has a temperature range of 72 - 83Ã"šÃ‚°F (22 - 28Ã"šÃ‚°C) and has a natural diet of zooplankton. Requires a meaty diet, including fortified brine shrimp, mysis, black worms and other meaty type frozen foods. May hide for several days when introduced, and also a good jumper! Needs two or three feedings per day. They make good reef aquarium inhabitants if supplied with ample crevices and caves. They don't bury themselves in the sand at night, as do many other wrasses. Instead, they may form a mucus cocoon similar to some parrotfishes and/or wedge themselves into a rock crevice. It should be noted the cocoon remnants do not seem to harm water quality or other aquarium inhabitants. Rarely seen in the trade. Often confused with C. solorensis that has black.
http://fins.actwin.com/species/index.php?t=9&i=417
Hope that helps