Since people are asking why RJ would hire a sloppy PI when he could have used his sources to bug CBI, and thus eliminating Bertram, Haffner, etc as suspects because they had access to bug the CBI, my theory is, maybe RJ wanted the PI to be caught. He had convinced her that Visualize was hiring her. Maybe he was trying to create a rift between Visualize and Patrick. But then Patrick talked to Cooper and figured it out. RJ being a Visualize member found out about it. He rushed to kill her before she would identify him. He had limited time and so he couldn't make sure she was dead.
Also, maybe RJ did,murder her in a trench coat like he usually does. Maybe he met her at the gym when he was working out in a vest maybe, and that's when she had seen the tattoo. RJ didn't expect her to pay attention, or that anyone would find out it was him, not Visualize, so he wasn't extra careful. What do you guys think?