The Integrated Homicide Investigation Team was called to a home near 140th Street and 94th Avenue on Sunday where two injured women were found.
Police say Quaw, 23, died from her injuries but they are not identifying the second woman who remains in critical condition in hospital.
Suspect armed and dangerous
Gordon Alexander David, 34, also known as Alex David, is described as five feet, six inches tall, weighing 161 pounds, with black hair and brown eyes.
He has a tattoo on his right forearm of comedy and tragedy masks and skulls.
Police say he is considered armed and dangerous and should not be approached.
IHIT is asking anyone with information to call 1-877-551-IHIT (4448) or e-mail firstname.lastname@example.org. Tips can also be submitted anonymously to solvecrime.ca or by phone at 1-800-222-8477.