Bitcoin has a type of privacy but not as much as many alts. As a general rule, don't do bad things - even if no one is watching.
Bitcoin is not exactly anonymous. It is what you can call as pseudonymous. Bitcoin transactions are like writing under a pseudonym. Once that is linked with the author, all tings related to it can be tracked. Now that pseudonym is basically the address of the holder but the twist comes in the way everything is stored. By using blockchain technology, it becomes pretty much difficult, time and resource consuming plus complex to find out transactions.