Write out some safety instructions about where to put hands etc. whilst cutting. Then tell her that you will give her a safety test. Demonstrate to her as to safe practice and then supervise without hovering and she will surprise you.Of course, make sure that the tools are sharp. I really believe that people have more accidents with blunt tools when they have to push and shove to get things working.
I find if I emphasise, to the kids I teach any sewing to, that they have to use a proper quilting ruler and that the thinner rulers are dangerous, they are very safety conscious.