Show her the Cowboy Bebop episode "Pierrot Le Fou". This is always the introductory anime episode I show to a friend who's entirely new to the genre. No matter their background, age, or gender, after they see this episode the reaction's always the same: "Where can I find more?"
Played Nier from start to finish, and I mean the very last finish. T'was a deeply depressing game when you realize what the truth of the game's events are after subsequent playthroughs and reading through the designers' notes.