I've never had a sim get "terrified" but when they are scared having them take a panicked poop cuts the duration a lot, as does hiding under the covers. If you have other sims around you get them to give the terrified sim encouragement as well. All those things cause the scared moodlets to quickly lose duration, should have the same effect on terrified.
If your sim has aspiration points to spare, there's also potions and traits which can help.