If the other players are sympathetic to the situation, I'm guessing that drunkenness isn't uncommon at your game table. There's nothing wrong with that, if that's the way your group enjoys playing. The point is to have fun after all.
So without criticizing the player, the solution is really pretty simple. In most cases (including yours, from the context of your question), a die roll is an attempt to succeed.
If she doesn't roll, her character doesn't try. She fails at whatever it is. Move on, no hard feelings.