It says it pretty clearly here ...
3 For rulers are not a terror to good works, but to evil. Do you want to be unafraid of the authority? Do what is good, and you will have praise from the same.
4 For he is God’s minister to you for good. But if you do evil, be afraid; for he does not bear the sword in vain; for he is God’s minister, an avenger to execute wrath on him who practices evil.
(Romans 13:3-4)
The elements are there ... the governing authority, the criminal (who engages in evil), be fearful because the authority doesn’t wield the sword in vain, and there no crime for good works (no reason to be fearful).
I can’t see any difference between what I said and what the Word of God said there, except for choice of words and grammar and syntax. It’s saying exactly that ... just in my own words.