Bitcoin has the same problem IP addresses always had: if you used your personal information anywhere along the chain, the entire chain can now be attached to you.
Bitcoin being a private means of transacting is a dangerous falsehood that needs to be corrected.
Bitcoin has always had privacy limitations, which is why solutions like CoinJoin were introduced early on to improve privacy. tumblers have also played a crucial role in enhancing privacy for Bitcoin users. What you should know is that bitcoin creates a decentralized system for transactions and doesn't mainly focus on privacy. Coins like xmr monero is what we term as a privacy coin.