I am so sorry to hear about your budgie.  One has to be careful at this stage since this could otherwise end badly.  This being said, there are things you can do at home.  Please visit this webpage: http://beautyofbirds.com/eggbinding.html – scroll down to the treatment section, which also includes tips how others have resolved it … I hope this helps. An update would be appreciated!  Thank you! Sibylle