You could try to create a new account with an alias; or send the gift to yourself and send it again to the recipient.
Share what's on your mind! Some online stores and sellers have included an anonymity policy as part of their Terms and Conditions.
To hide an order: Go to Your Orders and locate the applicable order.
I found several sources for this answer, but , in particular, is concise: Here's how i do amazon purchases anonymously for secret santa; I buy a gift card with the amount i need for the item and gift it to myself.
Each of these services allows you to transfer money to someone anonymously.
How to send money anonymously? We will hold offenders that have violated our policies accountable.