Reproductive disorders, infections, internal laying, etc, can cause pressure inside the abdomen, which in turn can lead to a slow down in the crop function. That can lead to impacted, sour, or pendulous crop.
I just noticed she was wearing a crop bra. Does she have trouble with a pendulous crop? If she has had trouble with a sour or pendulous crop, antibiotics might cause more problems with yeast or fungus. If she is treated, I would make sure that she also was treated for fungal/yeats with Monistat...
Keep in mind that reproductive disorders are common in hens over 2 years old. They also can more rarely happen earlier. If you read the emergency forum daily, there are usually several threads a day about them.
Do you have a trusted regular dog or cat vet who might help? Yes, avian vets for pet parrots are very expensive. This forum became useful because vet care for chickens is rare. Many of us can get some antibiotics for chickens without a prescription online. Right now the amoxicillin or Aqua Mox...
That does look like she may have a reproductive infection. I would get the antibiotic the vet offered. You can use a month’s egg withdrawal for most antibiotics, including enrofloxacin/Baytril. It might extend her life. I have had hens with those droppings last quite awhile. Most egg bound...