The PM told the BBC that “widening the scope” of what you ask the police to do would just increase the problem.
Policing of crime against women has come under scrutiny since the murder of Sarah Everard by a serving officer.
The PM said recruiting and promoting more female officers would also help to change the culture within forces.
Wayne Couzens was given a whole life jail term last week after admitting the kidnap, rape and murder of 33-year-old Ms Everard while he was a Met Police officer.
During his sentencing hearing it emerged that he had used his warrant card to fake an arrest of Ms Everard.