(Denny Crane: "Every one should carry a gun strapped to their waist. We need more - not less guns.")
What you said is true as far as it goes. I was involved in only two shootings in a 29 year career. But hand to hand encounters are EXTREMELY common I am a retired state police officer who worked in the Chicago area. I am 6' tall and weigh 210. I always worked out with heavy weights because size and muscle is EXTREMELY useful in the sort of exchange 2-3 punches and wind up on the ground in a desperate grappling match with close in strikes that comprise the vast majority of police hand to hand encounters. I could run 4 miles in 26 minutes, bench press 400 lbs for 3 reps, squat 550, dead lift 575, was a former member of the 1st Army boxing team and I STILL often had diffuculties in a one on one with a cracked up, amped up dope fiend who resisted arrest.
I knew many brave, capable and observant women police. I NEVER saw one who I felt was capable of going one on one with almost any determined, resistive male offender,(whereas I knew MANY male officers who could) and when I spoke to them about this issue, they would often admit that I was correct. They said they tried to work such encounters so they would have ready male backup.
For the less dedicated women, I suspected that they might let much suspicious activity slide if they were not assured of a ready backup.