I'm sorry to hear about your hen

If you are drawing "scrambled egg" from the abdomen, the prognosis is not good. I'm sorry, I don't know any other way to say it.
I am not a vet nor an expert. I don't really know how to read any xray, but the "mass" in the abdomen to me would be something like Salpingitis or possibly EYP. (RED CIRCLE).
I don't really see any fragmented egg shell, what all those little pieces in there that you see, look to me, to be grit, oyster shell and/orfeed. (GREEN ARROW)
With this being in the abdomen, there is no way to "draw" it out. Sadly, I will say that mass will continue to grow, the body will likely keep adding layers to that in an attempt to encapsulate it.
Surgery on chickens is very risky and expensive- usually they don't even survive. Even if a vet could clean that out, she might not recover at all. Suprelorin implants would also likely need to be given every 3months or so to stop ovulation.
Chickens aren't like dogs or cats where you can really give them a hysterectemy.
See what you vet says, but if she were mine and I saw this, sadly, I would put her out of her misery. Once that was done, then I would open her up to see exactly what that was.
Just my 2¢
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