As Vego said, Freedom is speech is not freedom from consequence AND I'll show you why.
If I have a radio show, and I call everyone but me a "Worthless hunk of meat undeserving of any space on the planet", and offend everyone listening, I've exercised my freedom of speech. I have not been suppressed, I have not been prevented from saying this by the government (Which is all Free Speech entitles you to anyway).
BUT-those people listening will use their freedoms in response. They may choose not to listen, and to boycott my show. They might use their freedom of speech and tell my radio station that they're not listening because the radio is giving me platform to offend people. They're free to do that, that's free speech too. They might inform our sponsors via petition that they are boycotting the radio station because they continue to support me. That's also their free speech.
At which point, the sponsors are free to suspend sponsoring of the radio station. The radio station is under NO OBLIGATION TO HIRE ME. Crucial point here. Freedom of speech is not an obligation to others to publish your speech. So the radio station has a choice. Continue to hire me, and lose their sponsors and listeners, and reduce their ratings. Or, refuse to hire me, and kick me out on my ass. It's a sound business decision to kick me out, so they probably will (So long as profit is their aim. Some organisations have alternate motives). At which point, I have no rational reason to complain that my freedom of speech is being infringed upon. I used my free speech, and my position as someone who is published. In response, people used their free speech and complained.
As a result, those who hired me felt it was in their best interests to remove my position as one who is published. I'm still free to say what I like, but people aren't going to pay me to, or try to get others to listen. And they're not obliged to. People are under no obligation to publish you, or listen to you. Freedom of speech is not freedom to force people to listen to you -even in a public space. If I put in my headphones and ignore you, you can't fuck with that, I'm free to do that. We're free to choose who we listen to.
Australians know what I'm talking about. I've exaggerated and modified a story from our media for this example. Alan Jones (Our Bill O'Reilly, a tasteless moronic scourge of filthy misogynistic jingoistic stupidity) decided to make a rather stupid and tasteless insult towards the prime minister, who's father had recently died. (Not on air, at a Liberal Party function) He said that her father died of shame because of all the lies she's been telling. (Of course, being a moronic pundit, he didn't elaborate on "Lies"). There was a massive backlash, and petitions to his sponsors informing them of boycotts. As a result, many publishers suspended their sponsorship. He and his station whinged about "Freedom of speech" and "Cyber bullying". Never mind that he uses his station for that type of thing regularly, but people taking offense at what you say, and refusing to help you say it, and encouraging others not to is not bullying.
EDIT: This is not censorship, or being banned. It's people refusing to listen to me. Most of us refuse to hang around with people who deliberately antagonise us-we're not censoring them or banning them from doing it, we're refusing to enable them. We're choosing to occupy a space which excludes their behaviour. We're free to do that. They have to deal with it, cut the crap, and start acting like civilised people.