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Hi there. This advice may be too late to help, but i've just logged on and seen your question. She sounds eggbound, and if it looks like the pic you posted then she certainly is.
Look at this link www.budgieplace.com/faq_eggbinding.html
I've heard that placing them in warm water helped them pass the egg, and this article seems to back that up, as it will help lubricate and encourage the egg to pass naturally. If the egg breaks it's disaster, as she may get 'egg peritonitis' a very serious infection.
Anyway, i hope this helps you out, but you may be at your vets by the time you retrieve this- i hope she's ok!!