...If you take certain precautions and pay the right price (pay for mixing services) then you can stay anonymous with bitcoin.
Since 2010 there have been dozens (perhaps hundreds, or even thousands) of media articles that call Bitcoin "anonymous", so many people believe that even though it is not true.
If you use Tor, bitcoin fog, and wifi hot spots then you could effectively use bitcoin and be anonymous.
In reality, unless you are dealing with a lot of money (at least 6 figures, as measured in US Dollar equivalent) then most likely, no one will be able/bother to discover your identity.
How did we even end up talking about how to remain anonymous when this thread started with our Frappuchino loving Frenchman on that island far far east?