A student newspaper would be considered a "real news outlet" by the courts and has of their 1st amendment protections.
You did not say what the newspaper is saying about you. If it is a truthful statement their is nothing you can do.
Andrew M. Jaffe
Attorney at Law
This post is provided for general informational purposes only and is not intended to be legal advice specific to you. This general information is not a substitute for the advice of an attorney in your jurisdiction. The attorney client relationship is not established by this post.