You can control whether or not recruitment information is able to show on one of your characters, or all of your characters, by making use of the character privacy settings:
Go to your account settings on Raider.IO.
Click on any of your characters on the left to expand the options below it.
Click on privacy.
The option to hide your Recruitment profile is under the Recruitment header.
After making a change to this you will need to wait until the next addon is updated for the change to go into effect. Similarly, players that are still on older data will continue to see your profile until the data has expired or they have updated to the latest addon version. Please be sure that your addon is always up to date to be sure your data is always up to date.