The injured woman was identified as Tanuja Kumari Nayak (29), a police officer said.
She was rushed to Capital Hospital and from there she was shifted to a private hospital.
According to the victim's brother, Nayak was allegedly attacked by one Manas, a real estate agent.
The alleged attacker intercepted the car in which Nayak was travelling and hit her neck with a sharp weapon, the complaint with the police said.
Nayak was going to Jharkhand with her brother.
Meanwhile, Deputy Commissioner of Police (DCP) Bhubaneswar, Satyabrata Bhoi said the police have already identified the youths involved in yesterday's attack on three girls on Nandankanan Road.
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