In my experience this is mostly a Tuning problem. I often get shouted down when this question pops up around the campfire in my neck of the woods because it's too hard and besides Traditional Archery Equipment is simple
?? Correct Arrows Spine Brace Height and Nocking Point are best established with Bare Shafts, there is plenty on the Web on how to do this.
Once Correct Spine and Nocking Point and Brace Height are established then follow the excellent advice given so far in regards to trimming the Quill.
With a Tuned Bow and Matched Arrows it is no problem to shoot with wet Feathers that are laying on the Shaft, they will Fly straight and True. With Hunting Arrows the extra thought and effort really pays dividends with cleaner Arrow Flight and better performance penetration wise from the Arrow. Our Forefathers knew this stuff hence the old saying about any Stick will shoot an Arrow but a good Arrow is a heap of work. I'll add any Tuned Stick will shoot an Arrow to the Phrase
regards Jacko