We see many instances in the New Testament when the demon spirits are afraid of Jesus, because they know that He is the Judge of the world and that they have a terrible fate awaiting them.
In Matthew 8:29, “And, behold, they cried out, saying, What have we to do with thee, Jesus, thou Son of God? art thou come here to torment us before the time?”
You see, sudden fear gripped them, because of the terrible fate they know they have awaiting them. If you know that you are saved and safe with the Lord, you have no sudden fear. The only fear permitted to those who trust in the Lord is Godly fear. You see, trust in the Lord brings confidence, a knowing that all is well.