Convict Mohd Raja had sought the relief to meet a previous employer to get money for his family needs.
However, the Delhi Police said the employer's address could not be verified as it was incorrect and subsequently, the convict's lawyer withdrew the plea to file a fresh one later.
A bench of Justices G S Sistani and Chander Shekhar thereafter 'dismissed as withdrawn' the plea by the convict.
The trial court had termed as "inhuman" and "brutal" the abduction and gangrape of the foreigner in 2014 and said that the incident has put a stigma on the reputation of the nation.
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Nine persons, including three juveniles, were arrested in the case. Proceedings against one of the adults, 56-year-old Shyam Lal, had abated after he died in February 2016.
The proceedings against the three juveniles is still going on in the Juvenile Justice Board (JJB).
The court had also imposed a fine of Rs 81,000 each on Raju and Raju Chakka, Rs 91,000 each on Mahender and Mohd Raja and Rs 1,01,000 on Arjun.
According to the police, the lady had lost her way while returning to her hotel and when she had asked the men for directions, instead of helping her, they misled, abducted and gangraped her in "brutal manner to satisfy their lust and rob her belongings".
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