I am not an expert but from reading other posts on BYC you should give her calcium. You can get it at the pharmacy and should keep a bottle on hand for these emergencies.
The real expert is @azygous
Calcium citrate is better but any calcium (eg calcium carbonate) will do. Tums is calcium carbonate. Calcium citrate should be available in the women’s health aisle.
There is a debate going on about dose to use but it is very safe in an acute setting so I have tended to give as many as the hen will tolerate. Most I have managed in one sitting was three pills.
Hope she does OK.
I am attaching a video of Eli when she had an egg stuck so you can see what it looks like.
She eventually managed to get that egg out and another one followed shortly after.
Wash your hands first, then gently feel around her vent for a membrane. If it's stuck, it's usually in the upper left quarter (her left). No more than one inch in.
How is she? It looked to me like a bit of soft shell was hanging out there in your first pictures. Think about getting some calcium citrate and having it on hand, and I would give her some now to help her form firmer shells with her next several eggs, plus it helps with contractions in pushing them out. Check her for any injuries from the others pecking back there. It looked like a bit of vent prolapse there too on her left side there, or something?I did and it doesn't seem like theirs anything left.
Think about starting a first aid kit for the chickens so you'll have some basic items on hand ready to go. Calcium citrate is one of the items to consider. Mini-pills are easiest to give but as you know they can eat something big, and you can cut the the larger ones in half. Some disposable / procedure gloves are another item that's nice to have, besides not introducing staph / germs to them (and vice versa), it's also somewhat protective for their skin and insides against your nails and cuticles. A lubricant is good, coconut oil (I keep some in a little cosmetic jar in my kit) or K-Y or any neutral food oil will work.
@Eggcessive posted a couple links for first aid kits
https://www.backyardchickens.com/threads/first-aid-kit.1565323/post-26563933
and any search on BYC (and on @BY Bob 's thread FBA I know) will turn up great ideas for what to have on hand. Start with the basics and don't worry about getting everything all at once.