I don't think you actually understand what "free speech" means... For one thing, it isn't used to describe actual speech at all, but to government policies protecting speech. In other words, if you say something I don't like and I try to censor you, you saying "Free speech!" isn't short for "What I said was free speech!" but "What I said was a right protected by the principle of free speech!".
The reason the distinction is important is because it highlights what speech actually is protected, and that is: all speech made by private (non-governmental*) parties, barring certain exceptions in rare cases. Those exceptions mostly cover incitements to and threats of violence, and similar incitements to chaos (the famous "you can't yell 'fire' in a crowded theater" being such an example). So anger and hostility, as long as they do not contain threats of violence, are protected speech.
It should also be noted that merely stating your point in all caps, even with a repetition for emphasis (without so much as a comma for clarity), does not prove that you are correct. It merely proves that you are loud.
*Speech made by the government is actually severely curtailed; this is why a government employee, such as a governor, cannot endorse a religion (by, say, sponsoring a state-wide prayer) without violating the separation of church and state. Of course, private individuals are free to do such things, and always will be.