Hi,
Unfortunately she started laying eggs again too soon after she had chicks. Each egg takes a lot of protein and calcium from the female. This is why a good diet is very important, but it is also important for the bird to be old enough and you have to take steps to discourage a second clutch right after one. With some hens, they just don’t stop, so this may not have been avoidable. But yes, you should be concerned. The egg may need to be removed surgically. Hopefully your vet is board certified in Avian Medicine. I’m sorry to say that many of the avian or exotics vets these days do not have enough experience. I’m not saying this is the case with your Vet, but if you are concerned about the treatment, you have every right to seek a second opinion.
Is your female at least 3-5 years old? Three is the earliest this species should be paired with a male. They can breed at a younger age, but waiting until they are older gives the hen more time to develop physically. In the wild, they start at an older age than what they do in captivity. When you breed birds, the nest box should always be removed as soon as the chicks leave it. Otherwise pairs will nest again too soon. Unfortunately in captivity, they do not get the right signals from nature to stop breeding like the wild parrots do. So captive parrots will literally keep breeding or laying eggs until they die. In some cases, the female needs a hormone implant to make her stop laying eggs.
I hope your hen can pass the egg. It’s a scary time for you and a down side of breeding birds. Sometimes no matter what you do, this type thing happens. It sounds like she was already having some problems with the egg she laid. Hopefully the Vet can determine the issue and help her safely pass the egg.
Take care,
Brenda