Shooting requires a good strong foundation therefore comfort and stability as equally important, so you need proper footwear to be successful. When shooting indoors, you need to make certain you are comfortable in the shoes or boots you wear. Since indoor floors are level, you are able to distribute your weight evenly on your feet, the important things to remember include good arch support, low or minimal heel and lightweight.
Shooting outdoors presents various challenges including weather, location, and safety. Various types of tournaments with various types of weather create different types of obstacles for archers. For target archers who shoot on a relatively level field, the weather is the largest factor. An archer needs comfortable footwear however they also should be prepared for bad weather and/or wet ground to trek through. You do not want to be stuck shooting in wet feet for several hours; therefore warm, dry feet should be the priority. Rain boots or waterproof footwear are recommended.
If you choose to participate in field and/or 3D tournaments, you are often trekking through the woods and shooting on uneven ground. Once you add in weather conditions, you might have to deal with mud, puddles, slippery conditions as well as bush, vermin and insects. I would recommend you invest in a good set of waterproof boots or Gore-Tex hiking boots. Boots help protect the foot and ankle from brush, and provide traction on uneven or muddy ground. A shoe covering that goes over the ankle is recommended in any place that wood ticks can be present.
Therefore, for outdoor shooting things to consider depending on the types of tournaments you choose to participate in, are comfort, good arch support, low or minimal heel, lightweight, warm, waterproof, breathable, good traction and decent quality. A good quality shoe or boot will help with your posture and in turn improve your scores.
Also, remember to practice frequently in all your different footwear, since every pair can have a slightly different fit and have a different feeling during shooting. A tournament is not the time to be adjusting to a new set of shoes.