DRMMRO2: I don't understand why you are asking this question? Often most states require that the handgun that is carried in the woods while hunting conform to the requirements for its use as a hunting handgun. Sometimes with a CCW permit, you may carry your CCW handgun that might not be legal to hunt with. In the Missouri case, any centerfire handgun is legal to hunt with technically. So a rimfire would not likely be allowed during deer season, but it would be allowed during small game season.
Added: You do not necessarily need a carry permit to hunt with a handgun. Many states make allowances for this. In PA for example, they have what they call a Sportsman Permit which allows you to carry a handgun hunting as sometimes heavy clothing conceal the handgun. In my state, you may not conceal a handgun unless you have a carry permit, but you can carry it openly hunting.