Yes, a good barber is a treat, male or female. The shop I patronize is staffed by Orientals, and the women tend to be the better haircutters. The owner, Charlie, recently retired from barbering. While he still owns the shop, he made one the females the new manager and one of the other females assistant manager. Good luck in Arizona.
Back when I was working, I went to a small shop in a strip mall that was owned by a female and only had female barbers. Went there about 12 years (cost $10, but I gave a good tip and they often offered a beer, so I would occasionally take them a 12 pack).
I was at an airport bar around 2000 waiting for a flight to Vegas one day and felt a tap from behind on my shoulder. It was the shop owner who had cut my hair for years. She said she would recognize the back of my head anywhere! They were going to Vegas on the same flight. She retired and closed the shop a year or two later.
I never found another suitable shop, so bought clippers and eventually a Wahl to cut my own beard and hair.