Durham Police Department said the woman inside the home was shot in the leg and needed to be taken to the hospital.
Her injury is not considered life-threatening.
It happened at a home on Fidelity Drive just off North Miami Boulevard near Holloway Street.
As of 6 a.m., Durham crews reopened Fidelity Drive and took down the crime scene tape.
The gunman who broke into the home has not been identified or located. Anyone with information that may help investigators is asked to call CrimeStoppers at 919-683-1200.