Bitcoin is not anonymous some effort is required to protect your privacy with Bitcoin.The user behind the address is not revealed until the information goes out during a purchase or other
Then you're (Bitcoin) anonymous by just using your statement. It will be an effort to decode who you are, then you're privacy isn't at stake. Your address will definitely be reflected on the chain, once you traded and no it will still be revealed who you are by just the address. Not unless you publicly posted your Wallet address or you are too careless not to secure your assets. So yeah, despite how many trades you are into or purchases you made as long as you keep your tracks clean then there's nothing to worry about your anonymity.
After your wallet address is linked to an exchange, is not anonymous anymore, take the fake hitman 'redandwhite' from the silkroad. He held his bitcoin for many years before trying to cash out, before promptly being arrested because his name was linked to exchange he was trying to cash out at. In my opinion, they best way to keep your anonymity is to use a bitcoin mixer/tumbler. There are many websites that offer this kind of service.