I am glad you got it out. I would have pulled it but didn't want to tell you to do it...I have no idea what is the correct thing to do here. I would feed her some eggs for sure. I had a hen that had clear fluid coming out her vent and after a warm bath she was able to expel it. Thankfully. I upped their calcium intake as she had laid two other soft eggs. She was just starting out laying. Good luck with your girl!
sharon
sharon