Norman Brennan has claimed that public confidence in the police had "plummeted" and that people had "all but given up" on them.
The former police officer appeared on the breakfast show after the chair of the National Police Chiefs Council, Sara Thornton, said funding cuts to the forces meant that police should not have to pursue reports of misogyny, even if it becomes classified as a hate crime.
She added that forces were too stretched to take on all "desirable and deserving" issues, such as logging misogyny reports, and that investigating gender-based hate incidents and allegations against the dead "cannot be priorities for a service that is over-stretched".
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Mr Brennan, who spent over 30 years in the police force, said the only crimes the public were truly concerned about where instances where "they're hurt" or "lose property which can never be replaced".
"All they [the public] ever wanted - when I was in the job a number of years ago - was a police officer to be visible, to visit them and be there when they needed help when they were on their knees, when they were hurt," he told Julia Hartley-Brewer.
"Even if we didn't make an arrest or there was very little chance of a prosecution or arrest, because we'd actually visited them, they had faith and confidence in us.
"Now they still respect us, but the confidence has plummeted to such levels now that the public have all but given up on the police. That's really what we should be concentrating on."