Here in TX it's the same way, but we don't have capacity limits. I could hunt deer with my Kimber Ultra Carry, or a .38 Snubbie.
I have hunted with and harvested 2 deer with my Glock 21 .45 acp, both shots identical, deer facing me and eating forage on the ground, spine shot just to the rear of the head, in humans , the medulla area. 1 at 25 yds, the other at 40 yds, both dropped like a stone. Killed my biggest buck with a .223, because it was in my hand, and the big boy stepped out, neck shot at 80 yds, 9 point that totaled 154 B&C. Shot placement is key.