You can make your Pandora Profile private by going to http://www.pandora.com/#/account/privacy
Uncheck "Make my listening activity public" and this will restrict anyone else from seeing your profile.
You can also uncheck "Allow Pandora to import my profile photo, music favorites, and friends list from Facebook."
If you go to the Notices section, you can turn these off, as well: http://www.pandora.com/#/account/notices
For our current Privacy Policy, click here.