In his first public statement since the incident, Rao also described the rape and murder of the 25-year old woman by four men as 'ghastly' and expressed his deep anguish.
He noted that in the case relating to rape and murder of a minor girl in Warangal, setting up of the fast track court ensured the verdict in 56 days, and in in the young veterinarian's case too, the verdict should come quickly.
He directed the officials to initiate the process for setting up a fast track court and ensure that the culprits get tough punishment, a statement from his office said.
The government was ready to extend all necessary help to the family of the woman veterinarian, whose killing has triggered an outrage, the statement added.
According to Chief Minister's Office, he was upset that the perpetrators of such heinous crimes are living amidst us. He termed the incident gruesome and inhuman.
Police on November 29 arrested four truck drivers and cleaners for the gruesome crime, which sent shock waves across the country and evoked huge public outrage.
Protests were held in several parts of the country to demand death penalty to the accused.
The accused trapped the woman by deflating one of the tyres of her scooty when she returned to Tondupally toll gate on Outer Ring Road in Shamshabad around 9 p.m. to pick up her parked vehicle and return home.
According to police, after raping the victim one after the other for nearly an hour, they carried the body in the truck to dump it near Shadnagar town, about 28 km from Shamshabad, and burnt the body.
A magistrate in Shadnagar town on Saturday remanded the accused to judicial custody for 14 days.
They were later shifted to Cherlapally jail in Hyderabad.