The alleged gunman confessed to the mass murder after police captured him late Monday.
The woman participated in a speech advocating religious freedom.
A top Turkish columnist has alleged that the attacker engaged in street fighting in Syria.
The suspects face charges of "being a member of an armed terrorist group" in relation to the deadly attacks.
Police arrested 11 suspected members of ISIS cell linked to bombers at Atatürk Airport.
No group has yet claimed responsibility for the attacks that left at least 43 people dead.
The policeman's shots bought bystanders valuable seconds to escape a suicide bomb blast.
The attack is the fifth in Turkey's largest city this year.
The suspected ISIS bomber killed three Israelis in Turkey's largest city on Saturday.
Turkey has launched nationwide raids on suspects linked to the extremist group.