"Why should she be blamed and held accountable to something that the defendant's lawyer did?"
Because she's an appellate judge and there's a 6th amendment right to effective counsel. She voted to affirm the conviction in spite of the lawyer's having slept during trial. As I said before, it wasn't quite as bad as it sounds, but I seriously doubt she'd get an outright majority in the Senate- I expect several Republican senators would vote against her. Honestly, I'm pretty darn conservative, and some of her opinions seem a little overboard to me. She writes with kind of an arrogant style, as if her ideology were the only legitimate one. I'd put her well to the right of a Scalia, who I admire greatly.
Not knowing anything about the case, there are a couple of points. First, this may have been an appointed public defender. Second, the error may not have mattered. The Court will have reviewed the testimony and the appellant will have to have argued that something in the transcript was improper and that an error at trial occurred because of it which would not have occurred if the lawyer had not been asleep at the swich. Third, those who see this as an outrargeous possibility miss the fact that a lot of judges allow a lot of irrelevant testimony to drag on and on and the only defense is to sleep through it.