Well, first thing of what the most common hunting injuries are.
Small
Cuts, bee stings, small broken bones
- Carry antibiotics, some 550 paracord (you can use a stick to make a small splint for a broken finger or for a limb), bandaids, painkiller
Large broken bones from a fall, large open woulds from a fall or gunshot or animal attack
- Flexible splint (military style), tourneqet (to stop major limb bleeding), quickclot, and bandages/wraps.
What are some extreme examples of injuries? Falls where people had to survive for days; hikers that had their limbs caught under a rock etc. and had to saw their limb off, etc.
For any day outing, I would carry a bag for staying out overnight for at least a couple nights, just in case. Consider the weather; maybe a small blanket or layer of clothing. Maybe a two way radio.
Above all else, carry a mobile phone, map, multitool, knife, water, flashlight, reflective vest of some sort (for rescue) and signal device. Also, tell someone and/or leave a note telling where you went and your plan for return.