I find "face forward to the right" to be a confusing way to refer to cuts. When you import a model into Cut3D, you may find it doesn't "face" the way you had anticipated. For example, if you imported a bust, it's possible for the person's nose to be facing the x axis or the y axis, so depending on visual clues from the cut model is difficult at best.
Fortunately, Cut3D offers an axis orientation in the corner of the model, regardless of where the origin is. It displays three arrows showing the direction of positive Z ("up"), positive X, and positive Y. Those are what you want to use when orienting your material to the machine.
It's a good piece of software. I used it yesterday to help a kid from church with his pinewood derby car.