Fake news publishers are still protected, they have every right to publish it.
Not everywhere. Among "free countries", Europe tend to put much more limits on free speech than the US.
For example, in France and Germany, it is almost impossible to talk about the Nazis in a way that isn't approved by the state. You can get condemned for defamation even if you speak the truth. In some cases, insults are outlawed too, and they can lead to prison sentences if they are racial in nature. In general, "hate speech" is considered a serious offense.