Anything that's just too horrible to say out loud is unutterable. Waking in unutterable fear from a nightmare makes it hard to fall back to sleep again.
Intense feelings tend to be unutterable, whether it's your profound sorrow at the death of your cat or your unspeakable urge to strangle your sister from time to time. This adjective is ideal for describing things that can't be uttered, or expressed in words, from a root meaning "out." During the Victorian era, it was thought by many to be vulgar to talk about pants or trousers, and some people used euphemisms instead — including calling them unutterables.