When deer hunting in the woods with one of my many rifles, I also have a handgun in the holster on my gunbelt, mainly for personal defense or for a finisher shot. Usually I carry my 357 mag with HOT handloads, but I have carried my 1911 .45 Super or my Glock 29 10mm (with a plugged magazine due to the IGNORANT Michigan regs regarding handgun capacity in the woods) In Michigan, the only regs for hunting handguns is if it is chambered in a handgun caliber it must be 35 cal or larger (yes, a 380ACP is LEGAL for Deer in Mich.) and can only hold 8 rds or less in the mag & chamber combined. If the pistol is chambered for a rifle cartridge, there is NO caliber minimum, other than it may not be a rimfire (yes, a .17 Remington is legal for deer in Michigan)
Other than the STOOPYD 8 rd capacity rule, we are pretty much left to choose the round of our choice in Michigan, with no stinkin' DNR interference.