The phrase "How dare you" has always seemed off to me. It should be "How do you dare?" but for some reason, someone decided to fuck with the syntax and fuck with everyone's brains.
Yet it continues to exist.
"How" is a question of the manner in which something is done.
"Dare" is a challenge.
"You" is the person it's directed at.
So essentially you're saying "In what manner challenge you?" Which is even a worse sentence.
Why am I telling you this? No clue. Welcome to my ADHD brain.