Wrong. This passage has nothing to do with secular government but with church government.
To believe otherwise ignores the context of the chapter and requires one to believe that God endorsed Hitler, Stalin, etc. as His ministers.
No, Romans 13:1-10 is about Civil Government, and it certainly does not endorse Hitler or Stalin. Why? Because the Government is a minister for the punishment of Evil and the respect of Good. What is "Evil"? Murder, Adultery, Theft, Fraud, Coercion. The Civil Government is to punish these things.
A Government which does not punish Evil and respect Good, is not a Romans 13 "Good Government" and therefore does not enjoy the Romans 13 authority Paul recognizes for "Good Governments".