I find it difficult to canter some horses in an arena/school environment! Some horses are not balanced in the corners and that can make an inexperienced rider feel unsteady. Even very experienced riders get the nerves sometimes too. Some days I can drive over to the livery yard where my guy is and feel full of nerves and other times I have a sack full of confidence. Human nature I guess?? It is true that horses feed off nerves. They can feel your anxiety and some will look after the rider where others will take advantage. Be positive, let him know who is in charge and remember you do this for pleasure
I am only a novice rider myself so the knowledge I impart is what others have shared with me....I find cantering up hill or on the flat in a straight line much easier to sit to (on some horses)...