The move is so emergency services can "respond as effectively as possible".
Four others were injured in the incident on Wednesday afternoon.
The incident, which took place on Friday afternoon at the Park Inn Hotel, West George Street, is not being treated as terrorism, police have said.
Local media named the woman as 21-year-old Madalyn Davis, from Lincolnshire.
More than a dozen people have been injured.
Fire, police, ambulance, and coastguard services were all in attendance.
Emergency crews were called to Cribbs Causeway at 1.15pm on Wednesday.
Residents warned to avoid Wide Bargate as emergency services attend scene of crash.
Lightwater Valley: Boy, 7, Taken To Hospital Following Serious Incident At North Yorkshire Theme Park
A six-year-old boy is in hospital. His condition is not thought to be life-threatening, police said.
The US Secret Service said the man was receiving first aid.