As someone who's enjoyed Eddie for the most part, I can absolutely understand all the criticism. It's irritating to see her contribute so little to the actual murder investigation. Even if she was meant to be the female equivalent of a Homer Simpson type of investigator, I think it served the character very little to simultaneously make her blatantly stupid, keep her backstory so flat, and make the few glimpses we ever get into her personal life all part of the same running gag.