Deleting your Hulu account attached to Spotify is easy. Login to your account from a computer browser and follow the steps below. You cannot complete this action from within the mobile app.
Delete Spotify - Website - Slides & Instructions
Please note, this will only delete your Hulu account. If you want to delete your entire Spotify account you will still need to delete your premium account and then your free account.
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Questions & Answers
Yes. Once Hulu is cancelled the rest of your Spotify services will remain exactly the same.