My opinion is there really isn’t a difference between the two but if I was going to say there was a difference, I would say an artist has more freedom to express themselves with what they create. It doesn’t always have to be aesthetically beautiful it is what they interpret. As for a Designer, there are rules that have to be followed. For example if someone is creating a logo, the logo has to appeal to its audience it has to be recognizable for what it represents and it has to be simple and straight to the point. This does not give the designer enough free creativity because of a standard that may have to be followed.