She told police she was repeatedly punched and kicked by a man who twice got out of a car and assaulted her as she walked down New Street at around 2.15 am on Tuesday.
It is thought the attack was unprovoked.
The 19-year-old victim, who is Madeiran, suffered cuts and bruises to her face and spent the rest of the night in the General Hospital.
Further examination showed that she had suffered a fractured cheekbone.
It is thought she may have known her attacker, who is said to have got out of a silver car, possibly a VW Golf.
After the assault he drove off up Burrard Street.
A man has been arrested in connection with the incident, but the police are still appealing for witnesses to come forward.
The number to ring is 612612.
