In addition to the murder of the child, which prosecutors allege was a war crime, she is also accused of membership of a terrorist organisation.
Prosecutors allege that she was a member of the Islamic State of Iraq and the Levant (Isis) morality police, which enforced strict sharia law, and patrolled public parks armed with a Kalashnikov.
She was arrested in Germany following a joint sting operation by German police and the American FBI after she allegedly admitted she was a former Isis bride to an FBI informant.
She allegedly travelled to Syria and Iraq in 2014 where she married an Isis fighter but returned to Germany in 2016 to give birth to a child. She was unhappy in Germany and told the FBI informant she wanted to get back to the Middle East.
The FBI passed this information to German police and a sting operation was set up in which the informant offered to help her return and picked her up in a car which had been fitted with a recording device.
As they drove, Jennifer W allegedly told the informant about the death of the child, saying she and her husband had obtained the girl and her mother as household slaves in Mosul, which was under Isis control at the time.
The girl's death was a "step too far" even for Isis, who punished her husband, she allegedly said.
The informant then drove her to a pre-arranged ambush at a petrol station where police arrested her.
Prosecutors later tracked down the mother of the murdered girl, who has been named only as Nora B.
Amal Clooney is a member of the legal team representing Nora B, who is a co-plaintiff in the case under the German legal system. Clooney was not in court on Tuesday.
The case continues.
This article originally appeared on the Daily Telegraph.