Soon after the government announced Pushpa's name as the new DCW chief, Barkha Singh accused the Aam Aadmi Party government of "harassing" her.
She said the government took the step after she summoned Delhi Law Minister Somnath Bharti to explain his controversial campaign against an alleged prostitution racket.
Barkha Singh, who lost the Delhi assembly election as a Congress candidate, Wednesday said there was no need for her to quit even though the Congress government which appointed her has bowed out.
A Delhi government official said Pushpa's name was sent to the Lt. Governor so that the DCW is headed by a non-political, eminent personality.