Something else that’s interesting is how often in the past the Pope’s words have been said to have been twisted, mistranslated, etc. One notable incident is the “who am I to judge?” controversy.
The Vatican quickly and publicly speaking out against the news about Kim Davis meeting the Pope shows that the Catholic leadership is able to clarify remarks when it chooses to.
Not sure what you mean by this ---- but the whole thing has been bizarrely confusing --- however, "the Vatican" (meaning official press spokesman Lombardi) spoke up to confirm that Kim Davis met with the Pope.
What Lombardi himself said, was calibrated lawyer-talk but not a denial or repudiation: he simply confirmed that the meeting took place (true), said it was one of many such meetings (true), and the Pope Francis did not necessarily endorse the "intricacies" of her case (which is no more than what Kim Davis' lawyer Matt Staver himself said.)
https://www.lc.org/newsroom/details/popes-words-and-meetings-support-conscientious-objection