Rabiya Khan had sought the adjournment saying that her petition demanding a probe by a special investigation team was pending before the Bombay High Court which was likely to hear it on June 7.
Her petition in the High Court says she is not satisfied with the CBI probe.
Judge A S Shende of the trial court today adjourned the case to June 10.
On May 5, the prosecutor had told the court that Bollywood actor Sooraj Pancholi, the accused in the case, should be charged with murder and rape.
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According to the central agency, the two were in an "intimate relationship".
On June 3, 2013, Jiah was found by her mother hanging from the ceiling of her house. As per the charge-sheet, Jiah had returned from Sooraj's house that morning, where she had been staying for the previous two days.
CBI has alleged that a three-page note written by Jiah before her death narrates the physical abuse and mental torture she suffered at the hands of Sooraj.
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Rabiya says in her petition in the Bombay High Court, filed yesterday, that a probe by SIT is needed because CBI wrongly concurred with the finding of Mumbai police that it was a suicide and not a homicidal death.
Accordingly, Rabiya's petition would come up for hearing on May 23 in the HC, her lawyer Subhash Jha told