Most peelers are ground on one side. Normally, you guide them towards the body while keeping an eye on the cut.
Left-handed people using a right-handed peeler move it away from the body. As a result, you can't really see where you're working and what exactly you're peeling. There is also a risk of injuring yourself if you peel too far.
Fortunately, there is already a considerable selection of peelers today. Unfortunately, it is still not normal that you can buy them wherever you can buy right-handed peelers.