If you're downloading The Daily, or any other app right now, from the App Store you'll be presented with new Terms and Conditions to agree to that include the new subscription service, how it handles auto-renewal, and how Apple may ask to share your personal information with publishers:
A new "In-App Subscription" section has been added to the Terms and Conditions to explain how in-app subscriptions auto-renew, how the auto-renewal can be managed and turned off, and that we may request permission to provide personal information to the Licensor for marketing purposes which, if declined, will not affect your purchase.
You'll have to agree to them before you can download from the App Store again. Since we can opt-out of the personal information sharing and manage auto-renewal I don't find anything objectionable in there. You?