Words are important. Even if someone doesn't believe they're important ethically, or morally, or however, the law does believe they're important. That's why there are the legal categories called slander, libel, defamation of character.
And I don't know that she's "failed" a polygraph. Has LE announced that? And what does "fail" mean? Because actually, a LDT isn't like say, a vocabulary test in elementary school, where you can get a A, B, C,D, or F for fail. You can answer every question truthfully but test "inconclusive" on one question, and that question may not be related to the central matter. LE also can tell people they've "failed" or "passed" even if that isn't true.
LDT stuff is simply an investigative tool, and how reliable it is depends on a wide range of factors. I've posted that before, because I had to go through an extensive seminar on LDTs for one job--high-level classified security management and counter-intelligence--and boy did I learn a lot. The examiner, who was credible, presenting proved to us that my boss, one of the most honest men on the planet, could "fail" a LDT with one question.
It was pretty incredible stuff. BTW, when they go over the questions beforehand, that's not to, as they may say, make the person "comfortable" or aware. It's to watch reactions, see what may stress them. Then the examiner knows how to zero in on those areas. Sometimes questions get slightly changed in between the preview session and the actual session.
So, I don't believe in LDT as an absolute indicator of guilt. I have to know a lot more than allegations that someone "failed" a LDT. JMO