Anyone can be charged with anything. He threatened he by stating he'd lure her dog with treats and she wouldn't like what happened. That's a threat. She strikes me as acting over the top as well, but he threatened her, more accurately her property, it's not a false report. A complete waste of time, yes.
How exactly did he threaten her life?
The dog couldn’t be lured if it was leashed, as it should have been.
He threaten to give her dog a treat.
She actually called 911 and said he was threatening her, which was a lie.