The weird thing about this to me is how someone who has watched all this crime stuff, which generally (at least the English ones I’ve seen) portrays the police as being competent and successful at catching criminals, doesn’t come up with a far more detailed plan to not get caught.
The interesting thing is she could genuinely have done a murder to see what it’s like, just as she wanted, and probably never gotten caught. If you murder someone with no motive, no connection to you, chosen at random, in a place not close to your home or place of work or any other frequently visited locations…the police have little to go on. As a fan of these shows, she would surely be aware of this. But instead she chose to do things that would basically guarantee she’s caught if the police are even minimally competent.