The Okhla MLA, who is in judicial custody, moved the bail plea before an Additional Sessions Judge who has fixed the matter for hearing tomorrow.
The legislator had been denied the relief by a magisterial court yesterday on the ground that he might influence witnesses and hamper investigation if released.
Khan's bail application, filed through advocate Madan Lal, contended that he is innocent and is an MLA who has to serve society/public.
The MLA, who was produced before a duty magistrate last evening, was sent to Tihar jail for 14 days after the police sought the same submitting that the complainant was constantly being threatened and harassed at the behest of the accused.
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She also claimed that a motorcycle tried to run over her when she was on her way to the court to record the statement.
Prior to that, she had on July 19 filed a complaint with police alleging that at the AAP MLA's residence in Jamia Nagar, a youth had on July 10 abused her and threatened that she would be killed if she did not stop politicising the matter.
An FIR was subsequently registered in this regard under sections 506 (criminal intimidation) and 509 (word, gesture or act intended to insult the modesty of a woman) of the IPC.
After her statement to the magistrate, Section 308 (Attempt to commit culpable homicide) of IPC was added to the FIR.
Khan had, however, said he did not even know if the woman came to his residence.