If that part is just hanging, then I would snip it off. Likely it will eventually fall of on it's own.
I would get a baseline weight on her just to make sure she isn't losing weight. Chickens with injury will still try to act as normal as they can. It's possible she is acting like she is eating, but is not getting a lot. You can also check her crop when she goes to roost at night to see if it's full.
Chickens can adapt very well with having their beak torn off. Miss Fluffy Bum's last update was in 2017, but she was thriving. You may find this both informational and inspiring
https://www.backyardchickens.com/threads/plese-help-chickens-beak-got-bit-off.848424/