Responding to a couple different posters on this thread, but the comments apply broadly.
I do not see why you would ever have to disclose your diagnosis to anyone (unless you want to). I'm fairly confident your doctor could write a letter for detailing the accommodations required to support your health without specifically saying the diagnosis.
I'm worried about what my peers and preceptors will think. Who cares what they think. I know that's easy for me to say, but if people think less of you for prioritizing your own well-being then these aren't the people you want to