Glad you were able to get the egg out ok! I would caution however in having her back in with the mate if there is any residual blood by her vent area. I had this happen and since they are gamebirds they will go after any blood. Needless to say it was not pretty what ended up happening to my girl. As long as yours has no blood on her she should be ok. I use a calcium supplement in my Buttons water now and have never had it happen since.
Also what citalk2much said is true about the non-medicated. Not sure if you feed it or not but for others who do. I accidently fed it once and had some deaths and some egg binding. I only give Finch seed as treats as it is fatty. They do best on mostly non-medicated gamebird that is at least 20% or more protein as their staple. I feed mine a 26%. Good luck and I hope she is ok!!