My 2 cents.
I deer hunt with a 80yo, with severe arthritis in both shoulders, and a bullet manufacturer. We have taken over 35 deer with .223 caliber and smaller on the ranch we hunt. What we have found to be key is both bullet placement and bullet construction, with caliber a distant third in importance. also don’t go crazy with distance.
Cheap, tipped varmint bullets use a softer lead, and should never be used on deer- they don’t penetrate enough,
I also completely avoid bargain priced ammo for animals. Higher quality, hunting bullets that expand into the deer, enter the vital cavity and do not pass through the far side of the cavity work great- they turn the vitals into a bloody mess, and the deer either drop immediately or sometimes walk about four steps before dropping.
Good placement, good (likely more expensive) bullets, no long-shots. Have a great trip!