Clay has been charged with murder and concealing a death and has pleaded not guilty.
He has admitted to investigators that he was there when Bruck died but that it happened only after the two were having sex and she had asked him to choke her.
Friends and people in the community searched for the woman for months, until a person building a home found her body.
Jury selection was completed Monday afternoon.
One man and 13 women of a pool of 200 potential jurors were selected to hear the case. Twelve will serve as the jury with two others being alternates.
According to the Monroe Evening News, Clay rejected a plea deal to second-degree murder, that would have included a 35-year prison sentence.
Opening statements in the trial will begin at 8:30 a.m. Tuesday. It's expected to last two weeks.