The fact that you want to go into a profession that at its very core involves working closely with individuals is going to make it very difficult to cherry-pick whether or not you are comfortable with what they look like. I can definitely appreciate that you have a very real fear and how uncomfortable that is for you, but there is no way to avoid this issue since this is not a specific population of clients you can just choose not to work with (like children for example). Obviously a medical setting wouldn't be the best choice for you to work in, but think about how broad your request is as far as patients go. Out of everyone with anxiety or depression or any given disorder that exists, there will be a small subset who have a physical disfigurement. It's like saying you can't treat redheads. I think the bigger issue is within yourself and something that needs to be dealt with before you can work in a field like this. Otherwise it will likely prevent you from doing what you really want to do, whatever that ends up being.