Should professional athletes be censored by there respective organizations?

It usually happens every two weeks, and major sources like ESPN and Fox Sports play these sound bites over and over and over again. Its professional athletes speaking on highly controversial topics and making highly controversial remarks. This is a PR and organization nightmare when a uncontrolled message or thought is broadcasted putting the organization into a negative light.

This week David Tyree, the wide reciever from the NY Giants who helped the giants win the superbowl  a couple of years back is the newest case of atheletes saying things that put organizations in a bad light. His remarks about Gays and marriage has brought him unwanted PR as well as the Giants and has warranted an apology from GLAAD as well as other Gay and Lesbian rights groups.

More and more athlestes are starting to tweet, blog, vlog, and etc and its getting harder to control messages that dont leave bad tastes in the public mouths. I do know there are instances in college where coaches have banned players from twitter. Also the NBA and NFL have rules where the players cant tweet 1 before the game and 1 hour afterwards.  But what about press interviews? What about live chats? Should there be stricter guidelines for atheletes by organizations for when they open there mouths? or is that stepping on someones first amendment rights?