I saw her question as being more centered around getting the supervisor to accommodate her the way her other coworkers do. Regardless, she posted, and some posters are giving their opinion that she should take more responsibility than she currently does. That's the hazard of posting - people aren't necessarily going to go in the direction you want or expect.
I feel some sympathy for her, but I agree that it is better for her to do something to minimize the problem than to expect everyone else to adjust. For one thing, it will be easier to control than it would be to rely on an office of people to remember how to manage this quirk. I think the supervisor was a bit harsh in her response to having startled the OP. Presumably she was just fed up with the startled reaction, but I still think it was unnecessary. Mirrors probably would be a good way to deal with this problem - I like having those as well as it can make me uncomfortable to have my back to everyone, even though I don't have the same strength of reaction to being startled.