The DP is a really strange case.
Usually in India, law enforcement is a State subject; ie, the states control the police forces, apart from a few agencies like the CBI which are controlled by the Centre. Even then, those agencies literally need state permission to come in and do anything which is not explicitly covered by a Central law (income tax for example).
In Delhi, it’s reversed. Constitutionally, the Delhi Police are controlled by the Union Home Ministry through the Lt. Governor of the Union Territory. This is because Delhi is a high security zone and it was felt that it needed more central oversight to protect politicians’ backsides. But this also means that the elected government of Delhi itself has no power to compel the cops in any way. Successive state governments have called for a change, including the most recent taking the form of the Chief Minister sitting in protest near the Home Ministry just before Republic Day (long, entertaining story there). But even if the same party is in power in the Centre, this never happens.
The result is that the cops are notoriously unresponsive - they are diligent in dealing with politicians’ and senior bureaucrats’ security, but barely even pretend to pay lip service to general policing. They really have no incentive to serve the people of Delhi - even beyond the ordinary cops of any other place, because the people who control them are not really answerable to the residents of the place they police.