Can you tell if the break is all the way across her beak or just on that one side?
I normally leave beak injuries alone, but with her being a cross beak she likely already has difficulty eating.
For her, I think I would be inclined to wash off the area well. Take a wetted qtip and wipe out the inside of her beak too. Get a really good look at the damage, then determine if it needs to be protected/repaired. I've never repaired a beak but the Chicken Chick has an article (linked below) that you may want to look at.
She's going to be tender for a while, so I would watch that she's able to drink well (hydration is important) and make wet feed available.
Once the beak heals, you may want to do a bit of research and decide if she would benefit from by the lower beak being trimmed shorter (a little at time) https://the-chicken-chick.com/repairing-chickens-broken-beak/
She didn’t seem to be in shock but now I’m not so sure. At first she was making pained sounds, then once the bleeding stopped she went about her business, grooming, pecking at things, being normal. Now she has lied down and is sleeping with head under wing. Is this shock? Would she be ok at first then go into shock? She is waking up when there is a loud noise, like an acorn falling on the shed roof.
She may be in a bit of pain.
It depends on how she injured the beak to, some birds will go settle somewhere when injured.
I would watch her for a while and she if she perks up, if not, go get her and offer some some electrolytes.
She is inside in a tub with shavings. She’s used to this, she is a pet and comes inside every afternoon. The break is only on one side. When I went out to open her cage up this morning she was hanging by the curve of her beak on the top of the cage. I freaked out and probably got her off a little too roughly, I don’t think it was bleeding before I got her off. I feel awful. Her water does have electrolytes in it.