I'm sorry to hear about your Parakeet. It sounds like you are doing what you can for her. I don't know anything about Parakeets, but a quick search, it seems the same method of treatment is pretty much the same as for a chicken.
Being able to poop is good, this means the egg is not blocking the intestines.
You mention you put hemorrhoid cream and it help reduce the swelling - does she have a prolapse as well? An anti-inflammatory cream may also be help reduce swelling.
(there's nothing wrong with using the Prep H, just concerned she's prolapsing too)
Hydration is important so keep encouraging her to drink. If she becomes lethargic, it would be better to place her in a steamy bathroom (this method is used for chickens too), otherwise, if she is agreeable an epsom salts bath may help get things moving.
https://www.beautyofbirds.com/eggbinding.html
Give her time, hopefully she will pass the egg soon.
Sometimes an egg has to be removed by piercing with a needled syringe to draw out the contents, then carefully crushing the egg and removing it - I would only attempt this as a last resort, lifesaving method, you risk the shell cutting the cloaca/oviduct, contents can still spill out, there's a possibility of not getting all the shell any of these can cause infection. IF you end up having to crush the egg, I would put her on antibiotics to help fight infection.
I hope she has passed the egg by the time you read this post. Please let us know how she's doing.