Just for future reference, as someone who has had a blood-feather break (a primary flight feather on my Cockatiel, ironically), you need to know what to do, because they can bleed to death within a matter of minutes. Styptic Pencils are okay for stopping the bleeding of little wounds, but not for a blood feather that breaks, trust me, a Styptic Pencil will do nothing to stop that.
You need to ALWAYS have a box of Corn Starch on-hand in your home. That's the easiest way to stop a blood feather from bleeding, you just need to dump Corn Starch right on it, as it will clot the blood pretty quickly. Works great for a toenail that's bleeding too...Or, you can buy some powder Qwik-Stop from any pet store, but it's best used on their toenails and not on their skin, as it burns on skin. The Corn Starch doesn't burn, and it's your best-bet, and it's cheap, maybe $2 at any grocery store or Walmart.
Also, if you're ever in a situation where a blood feather just won't stop bleeding, not even with the Corn Starch or Qwik-Stop, then you have to pull it out, which is easiest using a pair of needle-nose pliers, because if you try to pull them out with your fingers or a pair of tweezers you can end up only pulling half of it out, and then it becomes a mess. I had to pull the one on my Cockatiel's wing, as it bled for a good 10 minutes, the Corn Starch, Qwik Stop, nothing would stop it and she was dying. And that blood feather was in the bone in her wing, and it took every bit of strength I had to pull it out with a pair of pliers. Scared her to death and hurt her badly, but it saved her life.
And I agree with TextSize, you Cockatiel's bald spot is completely normal, most all of them are born with one, but your bird's is much larger than I've ever seen too. It's possible that she's been scratching at it with her foot/toenails, as that pin feather looks red and very itchy, it's a rather big pin feather. I'd try either bathing her, or getting some all-natural Aloe Vera to put on it, or even some "Molt-Ease" spray, made by Ecotrition and sold at all Petco's. It comes in a large spray bottle for around $10, and it contains both Aloe Vera and natural Purcellin Oil, which is the same oil that is secreted by their preen-gland at the base of their tail, the one that they rub their beak in and then preen themselves by rubbing the oil on their feathers...So the Molt-Ease really does make them feel a lot better when they have a bunch of pin feathers or an irritated, large blood feather like this.