Doesn't matter what you are hunting, big or small, its a really rare day when you have more than a couple of shots without either managing the situation or losing the opportunity.
So a large magazine capacity auto, no matter the caliber, is just extra weight of ammo to carry, if you chose.
The requirements you mentioned are for deer (and mayber other big game), right?
You mentioned both an auto and a DA revolver, so I will assume you have some familiairity with both, in general.
Look at the cartridges that meet the energy requirements. Next look at the guns they come in. Also look at the ammo slelection, particularly bullets. Many handgun rounds are well suited to selfdense more than hunting deer and other game.
Accuracy of the handgun, and your ability to shoot it are the most critical factors. What guns feel best in your hand? Which ones have the best triggers and sights? You are going to be taking a single aimed shot (hopefully), not on the combat range.
Lots of people hunting with single shot pistols. Now they don't do double duty as a defensive arm very well, but they excell as hunting guns.
Auto pistols are not the most preferred choice, even though there are some in suitable calibers, there aren't many. And even fewer that have the sights, trigger and accuracy needed for best results.
And then there is the fact that auto pistol rounds usually don't have the large flat nose and sharp shoulder that makes the SWC an effective bullet without expansion.
Sure, you can take deer with a service type autopistol (that meets the legal requirements), but above real short range, there are better tools for the job.
performed).
The .44 probably costs less than the Glock after you add the long barrel too, but if the Glock is what you have your heart set on, that's what you should go with. I'm a semi auto type of guy too.