How to remove and repair distorded mirror

It all depends on how it's attached. Is it glass or is it one those plastic ones with mirror paper on the back?

Double check with a glass specialty shop, I don't think you can repair and distortion. Kind of makes removal a little easier doesn't it? Most frameless mirror like in baths are glued to the wall with a special caulklike glue. It will not come down in one piece if this is your case.