A starter needs something readily available and cheap to shoot without reloading.
Unless the rifle is chambered in something that has lots of available military surplus ammo for practice (good luck finding that), NOTHING is "cheap to shoot" ...... without reloading.
More practice is better, and unless you reload, you'll spend more on sufficient practice ammo than you did on the gun in pretty short order......
The best deer rifle, regardless of chambering, is the one the shooter is familiar with.... the one he can bring to shoulder and have the sights/crosshairs aligned on the target, without thinking about it.
That's not going to happen without a lot of trigger time, both live and dry fire.
Lots of live fire won't happen without lots of ammo...... reloading will make that happen..... you won't save any money- you'll shoot a lot more though, and you'll learn a lot while you're at it.
That said, the best values in "deer rifles" are nearly always found on the "used"/consignment racks ..... most rifles in "deer" calibers are not shot all that much ..... a box or two a year at most, and most spend far more time in the safe than at the range or in the field. They probably get used for a couple of years at most before getting traded or parked in the safe in favor of the Next Big Thing.... With the incessant marketing of today having convinced so many hunters that it is not the Indian, but this new and improved arrow (or supersight, or irresistable scent, fool-proof(!) call, or invisible camo pattern, or magic underwear, or whatever!) that matters. For 90% of shots at deer in this country, there is not a dollar's worth of difference between most of the "deer calibers" out there- most any deer out there, when shot through the chest, would be hard pressed to tell the difference between a Remington 710 launched .30-06 bullet and any other major caliber bullet put there by the most expensive one of a kind custom made rifle everyone on this forum could collectively dream up ..... the deer would still be dead.
What matters at crunch time, when the game appears, is that the hunter has the
skills to put the bullet where it needs to go, and quickly. To that end, would it not be a better plan to have a $300 rifle you've put 1000 rounds through, than a $3000 rifle and scope combo you've put 100 rounds through? Though this sounds like an extreme comparison, I'll bet the average deer hunter in this country is much closer to the latter situation than the former.....
Caliber and make and model are far less important than trigger time. When you go looking for your "deer rifle", get the one you can get the best deal on, in a common chambering ..... and get dies for it and then attempt to wear your purchases out by practicing- first by developing a good load from the bench, and then by attempting to shoot up to your bench ability ..... without the bench.