Thinking realistically, it would not only suck but could result in a dangerous and unpredictable situation.
My wife joined me on a trip to the range last weekend. She'd been many times before but it had been a while. With eye and ear pro she was still jumping every time the guy in the next lane, five to eight feet away, fired his rifle. I was glad when she said she wanted to end the session early.
Without hearing protection and not knowing what that woman's prior experience with firearms is there's no telling what she would do if it turned into an active firefight.
Just my $.02. I didn't get the training the two LEO's in the picture received so I don't know what TTP's were in use.