The woman was supposed to appear before the panel on Friday.
In a letter to Justice Bobde, she also raised question over the presence of only one woman apex court judge -- Indira Banerjee -- in the panel to examine her allegations against the CJI which is not in accordance with the Vishaka Guidelines.
She said that as per the guidelines laid down by the Supreme Court in the Vishaka judgement, for holding inquiry into the allegations of sexual harassment at work place, the committee must have a majority of women.
According to an official, the woman wrote, "I would humbly suggest that since I was posted in the CJI's residence office, I know that Justice Ramana is a close friend of the CJI and is like a family member to him.