Edward McGregor is accused of sexually assaulting and killing Wildman. She was found nude in the kitchen of her Missouri City home, dead from a stab wound. McGregor's DNA was found at the scene.
Wildman called 911 after being attacked, telling authorities to hurry because she was dying. That call will be played at trial.
Defense attorneys point out that Wildman says on that call that she didn't know he person who attacked her. They say McGregor is not her killer, that the two had only been having an affair.
Though being tried right now for the single murder of Kim Wildman, McGregor is a suspect in three other murders in Harris County. He's only charged in one of the cases.
The victims were found similarly posed in the bathtubs of their southwest Houston apartments. Police have called McGregor a serial murderer.
McGregor has pleaded not guilty in this murder. Prosecutors are not seeking the death penalty, because McGregor was 17 years old at the time of the crime.