Beautiful fish. I also bought one many moons ago. Yes it is a Red Coris wrasse or sometimes called a red cross wrasse. Definitley not reef safe. Plus that sucker will be eating any hemit crabs that you have. Now for the bad news. It is still in the juvenille stage. When it grows to an adult it completely changes color and grows to about 18" long. I know because I was lucky. I was able to donate mine to a local aquarium. They had some full grown suckers in a tank and yes they were about 18" long. This is the same fish that taught me, and now you, to research EVERYTHING before you buy it.
Scott