You can restrict access to your account, wishes, or reservations.
In Settings, go to the Privacy section. You will have several options to choose from:
Close profile
When this feature is enabled, your profile and the wishes in it become visible only to those who follow you. Claiming wishes is always only available to your followers, regardless of this setting.
Approve new followers manually
Users can only follow you and reserve something from your wishlist after you approve their request. At the same time, the profile itself and the ability to view it will remain open to other users (unless you have enabled the “Close profile” option).
You can learn more about hiding individual wishes from your wishlist here: How to make a wish private/invisible to other users?