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.