Roku TV get Apple TV on it
Cannot log in to Apple TV on my Roku TV
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What is your model Roku? Is it listed as a supported model? List of Apple TV app-supported devices - Apple. All Roku models except the oldest should be supported.
Find the Apple TV app in the Roku Channel Store. Apple TV app - Channel Store preview - Roku
Once you have downloaded the app, then open that app on your device, and sign in to the app through the in-app Settings (sprockets wheel icon) with the Apple ID account that has subscriptions or purchases.
If sign-in fails, then there might be something incomplete or unverified about your new account. Your Apple ID accounts needs full user details, a verified email address (respond to test message), and a valid payment method.
How to create a new Apple ID - Apple Support
Manage your Apple ID account - Apple
Apple ID - Official Apple Support
Change, add, or remove Apple ID payment methods - Apple Support
Get support - Apple Support (start your support request online)
Contact Apple for support and service - Apple Support (phone numbers)