Witnesses said she was beaten and called a “demon” in what a judge subsequently ruled was an antisemitic attack.
Mr Traore, who is originally from Mali and is the only suspect in the case, was also reported to have intimidated the Halimi family and called her daughter “a dirty Jewess” in 2015.
But after this week’s ruling it is unclear if he will face trial.
The three psychiatric experts ruled he “suffers from a chronic psychotic disorder, presumably schizophrenic [in] nature”, according to Le Monde.
A third evaluation has been ordered to definitively settle the question of his psychiatric condition.
But the leader of Crif, an umbrella organisation representing French Jews, criticised the multiple delays in starting the trial.
“We do not understand the determination and procrastination that consistently seeks to turn this killer into a demented person, when he is a murderer whose presumed detention doesn’t even hide his hateful antisemitism,” Crif’s Francis Kalifat wrote.