Well, let's throw in all the usual stuff about shot placement, size of deer, and typical distances...
I've killed around 20 deer with a .243; smallish whitetails. Field dressed 120 or less, generally. Mostly shot inside of 150 yards. I'm a pretty fair offhand shot, and have killed a fair number of running deer--and never lost one.
For somebody who hasn't shot a lot of anything, who's just a few years into the program, I'm happier seeing a guy in my camp with something like a 7mm-08 or bigger. It's a bit better anchor for the occasional bad hit.
All this is just generalizing, which is all you can do. There just ain't any hard and fast rules. I've happily carried my '06 in the same country as for the deer mentioned above; probably killed some 20 or more with it.
Mainly, I guess, if you can regularly hit beer cans offhand at 100 yards, and you're happy with whatever 6mm or bigger that doesn't beat your shoulder to death, you're gonna have enough gun to kill deer.
FWIW, Art