I guess it's about image. Both names have very specific connotations in different ways from each other, to me, one suggests tragedy and the other opulence.
Both sound very pretty and feminine - like yourself.
But I guess it depends who your target audience is and whether you wish to be 'type casted' or pigeon-holed to some extent, not at all or entirely.
Again, decide whether you wish to associate your design business entirely, to some extent or not at all with your stage persona.
(I still like Anna Macarenina.... ole! )
