Just for future reference, you need to go out and buy a box of corn starch (flour doesn't work nearly as well)...If you have a bird, you must always have a box of corn starch on hand in case they break a blood-feather. Styptic powder such as Qwik-Stop is also good to have, but it should only be used on toenail bleeds and not on skin, because it burns like crazy...But, if it's all you have and a blood-feather breaks, then you have to use it, because a small bird can bleed to death from a broken blood-feather such as this in a matter of 5 minutes or less. So please go spend a couple bucks on some corn starch ASAP and keep it handy...
Aloe Vera does nothing at all for clotting blood, nor should you ever put it on an open wound like that, as it will only cause pain, and it has no antiseptic properties either. It's only for itching/allergic reactions, such as when your bold is molting and has a bunch of pin-feathers coming in that are itchy.
Birds have "blood-feathers", which are immature feathers with a blood supply to them. Usually when they break like this, they don't stop bleeding unless you put corn starch or styptic powder on them with pressure, because they are essentially an open vein...Sometimes they won't clot with anything you do, and they must be pulled-out with pliers to save the bird's life...
*****Please look very closely at your bird and make sure that the ENTIRE FEATHER came out, and that none of even the shaft is left in his wing, because if he or the other Budgie preen it, which they will, and they pull any remaining blood-feather out, then he'll start bleeding profusely and die if you're not there with some corn starch. Make sure it's all out, there is nothing left from where he was bleeding (wash him off and locate the source of the bleeding, and make certain there is no broken feather-shaft left in him)...Better to just take him to your Certified Avian Vet and let them make sure it's all out...