Best to stick with the first bow (longbow) even though you might already have unlocked the shortbow. That way you can master the longbow’s speed and arrow-drop. Then you have to start recognizing walking patterns and dodges. Most people tend to zig-zag their way to you.
Also, if you’re going for the kills: don’t shoot arrows across the map, but go with your teammates so you can easily shoot occupied enemies full of arrows from close range.
Pro tip: use bodkin arrows.