Are you proficient with both hands?
In the below article Greg echos what I tell my students all the time and why we spend time drilling shooting with our dominant and non-dominant hands singularly. In 23 years of participating in and instructing force on force training, I can tell you one of the highest percentage hit areas seen is the hands. People shooting where they are looking and we are inherently threat focused by nature. Where is the threat weapon held? The hands. If you are not training this was then you are not training for reality and thus the fight. Learn one handed shooting techniques and become proficient in them. I posted a video not long ago with a method that I teach in my classes. It's worth your while to scroll back, find it, watch it, then head to the range and practice it. Stay safe.