You can’t reject all authority and accept truth. To claim anything is true, you’re assuming laws of logic, uniformity of nature, and standards to judge claims.
Where do those come from in your worldview? You’re borrowing from the Christian framework to argue against it. You say “I accept truth” but won’t answer to the God who grounds truth, logic, and intelligibility itself. That’s not independence. That’s theft. You can’t account for the preconditions of the argument you’re making. I can. You’re not rejecting authority. You’re suppressing the truth in unrighteousness while using the tools it provides. Romans 1:18-20.