Faleh Hassan Almaleki pleaded not guilty to two counts of aggravated assault. Prosecutors are expected to issue harsher charges now that his daughter has died.
Police say Almaleki ran down his daughter and her boyfriend's mother with his Jeep on October 20.
Noor Faleh Almaleki, 20, died about two weeks later. The other woman survived.
Almaleki fled the country after the attack, but was stopped at a London airport and sent back to the US.
The hearing had been delayed twice because Almaleki was on suicide watch in jail.