To permanently remove an NFT from your Rarible profile and your wallet, can burn it.
Note: Once you have burnt an item, you won't be able to get the NFT back (unless you find another edition of it for sale and buy it). To hide your NFT, instead of permanently deleting it, follow this article: How do I hide an NFT from my profile?
Steps to burn an NFT:
1. Go on to your profile.
2. Find the NFT you would like to remove and click on “Burn.”
3. A confirmation message will appear. Click on “Burn token” to proceed.
4. Sign the transaction on your wallet provider's extension of browser.
5. Confirmation of the transaction will appear on Rarible. Click on "Continue."
6. Now, the NFT will permanently be removed from your Rarible profile and your wallet.