Only patron pledges can be private - not their entire profile page. Creator pages are always public.
To make your pledges private and hide your pledges to other creators, in your settings, you can make your account private. If you have selected to keep your pledges private, you page will not display any likes or creator profiles.
If any patrons or creators know your specific Patreon URL or guess it (www.patreon.com/beyonce) they will land on your page but be unable to see your pledges to other creators.