This admittedly hilarious gif has gone viral, and is being sold as Michelle Obama "eye-rolling" John Boehner. As fun as that would be, that's not what's going on. He's saying something to her and she's getting ready to acknowledge him but their attention is pulled away by something being announced—after this moment, everyone is seen applauding.
But that hasn't stopped right-wingers from attacking her for what they're terming her "classless" (catch the subtext?) behavior...and, of course, for eating with her elbows on the table.