If it has stopped bleeding then there is no reason to pull it. Sometimes with a large feather shaft, if it's bleeding a lot, and pressure or other blood stop methods isn't getting it stopped, then you can pull the shaft and then apply pressure to the skin where it was to get the bleeding to stop. This is more common in feather footed and legged breeds where the leg and foot feathers are more likely to get damaged from normal activities, especially during molt or juvenile feathering out, when new feathers are coming in.