Why staying anonymous online matters
Every click you make carries a small note to the next site: the address of the page you were just on. It rides along in the Referer header, and most sites write it straight into their logs and analytics. You never agreed to it and you rarely see it, yet it happens on almost every link.
For plenty of pages that is harmless. For others it is not. A private forum, a members area, an internal wiki, a draft you shared with two people: none of those are meant to surface in a stranger's traffic report. Once the referring address leaks, the other side can guess where your audience gathers, scrape it, or simply learn that a place exists which you never meant to publish.
What actually leaks
The referrer is only one piece. A normal request also hands over your IP address, your browser and operating system, your language, and often a trail of cookies. Put together, that is enough to place you on a map and follow you from page to page. Anonymity online really means cutting that trail down: sharing less by default, and choosing when to share more.
Start with the easy win
Hiding the referring page is the simplest part to fix, and it costs nothing. A dereferer sits between your link and its destination and drops the Referer header on the way through. The other site still gets a visitor, it just never learns which of your pages sent them. You can wrap a single link by hand, or add a one-line script that handles every outbound link on your site.
When you need more
Removing the referrer does not hide you. Your IP address still reaches the destination, and that alone can identify a person or a network. When the goal is to hide who and where you are, rather than the page you came from, you need a different tool. That is what Tor is for, and it is worth understanding before you lean on it.
Privacy is not a single switch. It is a set of small, deliberate choices about what you give away. Dropping the referrer is one of the cheapest, and a good place to begin.