It was actually killed along with 82 other rules and regulations at the behest of President Obama who put out an executive order out to eliminate any unnecessary and outdated regulations throughout the federal government.
https://www.politico.com/story/2011/08/fcc-finally-kills-off-fairness-doctrine-061851

The large reason for fairness doctrine's resurgence in popularity had more to do with all these failing radio stations suddenly being bought up by very conservative media groups who were kicking progressive people off the air. Which is a bit worrying if you're someone who gets concerned with propaganda. Like, imagine if every news network started only repeating what MSNBC said, that'd be really fricken scary