Some folks say a 223 can't kill a deer/elk/moose - it is unethical. That has been proven otherwise and there is a 100+ page thread on here with some impressive impact photos clearly proving that it is fine for deer/elk/moose with a certain bullet. Go figure.
I often hunt w a 357 mag rifle (158 gr bullet at 1,900 fps) for deer - have 16 deer up to 180-pound class, all "1 shot kills" and only 3 moved from the point of impact. Works good. When I started this project folks told me not to waste my time.
Also have a 9mm long gun. 16 inch barrel and maybe 1500 fps w 115/124 gr bullet. The bullets have a visible "trajectory" on targets when you hold dead on at 25-50-75-100 yards - rise at 25, dead on at 50, low at 75, lower at 100. I'd feel comfortable inside 75 yards with a "heavier" bullet, inside 50 would be better - talking a 9mm RIFLE here. For clarity, I haven't killed a deer with it or even tried.
If you are gonna shoot a deer with the 9mm pistol - have at it - check that box. Just know that there are some limitations. This is my take on the limitations -
- heaviest, sturdiest HP bullet you can find, they do 147s in 9mm - not liking the idea of a solid point due to less tissue damage
- keep it inside 20-25 yards
- rib lung shot - stay away from the shoulder
- treat it like a bow shot deer, give it time to bleed out before tracking - probably go 75 yards anyway
It isn't anything that hasn't been done before. If you had posted saying 357 mag, it would have gotten few comments yet it is also marginal out of a handgun for deer. I'd shoot a 180 gr XTP HP and keep it inside roughly 50 yards if using a 357 mag handgun.
If you want to pursue a future of handgun hunting think bigger and badder than 357 mag. Could do a contender to get more variety in cartridges. Also consider your shooting ability - big is often loud and jarring to shoot. Work your way up and know when you have too much gun, back off a lil from there. I found the .44 to be easier to shoot than .357 mag, possibly cause of larger/heavier gun.
Don't be afraid to carry a shooting stick to help w the shooting.
Good Luck!