You should have courage to ask an apology ______ him _____ your rudeness.
You should have courage to ask an apology ______ him _____ your rudeness.
Explanation
The correct sentence is: "You should have courage to ask an apology to him for your rudeness."
"To" is used for the person you're apologizing to, and "for" is used to indicate the reason or cause of the apology.