There is likely also a HIPPA issue. If a health care professional or paraprofessional such as a certified athletic trainer is a covered entity, HIPAA will prevent the disclosure of private health information to third parties such as conference offices and the media without authorization from the student-athlete.
http://ncaanewsarchive.s3.amazonaws.com/2003/Association-wide/privacy-rules-affect-exchange-of-student-athlete-medical-records---3-3-03.html