This thread is related to this one here
https://www.backyardchickens.com/threads/need-some-help.1491175/ These are related and it would have been best to simply expand on your first one so all the information is together. Your doctor doesn't start a new file on you each time you come in for a visit. It wouldn't be very workable to have your information sitting separately all over the place. Same goes here.
Your hen sounds like she's having a reproductive crisis. It may have something to do with that first blob of an egg, and there may be more hung up inside her, making her feel sick. No, it's likely not coccidiosis.
As
@Eggcessive mentioned, she may be dehydrated. If she has an egg stuck, or even a "sort-of" egg, she may not be getting fluids to replace what she may be losing. Put fresh water under her beak so she can drink as she needs it.
Next, if you have calcium, give her some. Not oyster shell. It takes too long to digest and absorb. She needs what
@Wyorp Rock mentioned in the first thread, Calcium citrate. Give her one tablet now, and one tablet each day until she starts laying normal eggs.
The calcium citrate will stimulate contractions so she can more easily expel any egg material that is stuck inside her making her feel miserable. Keeping her hydrated and calm is very important. She would be better off in a box or crate in a quiet place so you can monitor what comes out of her.