No sharp objects means just that.
To TSA, this lady was a decoy and diversion. She was deliberately using an acetone containing product. In case someone smelled acetone, there would be an explanation. While the pax and FAs are harassing her, no one notices her partner in the seat behind her setting up his Jihad Joe Portable Chemistry Lab in an ice bucket to do a two hour synthesis of acetone peroxide. Apparently he got away. Another possible maybe terrorist plot narrowly thwarted.
Send that lady to Gitmo without any nail files or polish. In two weeks she'll talk! ^
TSA has been watching too many Mission Impossible shows. Everything is a giant elaborate conspiracy. Nothing is what it seems.
Too bad some clerk at TSA put "Occam's razor" on the Prohibited List.