She would not be prosecuted even for Contempt of Congress.
She could tell them she thinks they're all a bunch of homo fascists, spit on the floor and walk away.
That is a key point. When the DOJ is corrupt and lawless, Obama Regime functionaries are immune from the threat of Congressional action. In fact, to a significant degree, the entire legal system is now tilted to protect favored political or ethnic classes. Obama could have Issa hauled off and sent to Gitmo and, literally, no one could stop him.