How do I get Apple TV from automatically ordering Apple Music and charging me for it?

There's no way you see a charge for Apple Music on your card directly. Apple charges will appear on your credit card as "apple.com/bill" only and don't specify what they are for exactly.

That charge can be for any Apple subscription or 3rd party app subscriptions from the app store.

Subscriptions don't just start on their own magically, you need to have applied and confirmed the subscription for it to activate.

Check your active subscription and cancel any you don't need by following the steps here: link-> If you want to cancel a subscription from Apple - Apple Support

Apple Music and Apple TV+ are separate subscriptions. Neither one includes the other, so you should not be charged for them unless you actually subscribe to them.

The only exception to this, is Apple One which includes both Apple TV+ and Apple Music, along with a few other Apple services for the same price.

Where are you seeing this charge exactly?