There may be facial damage and self trimming may cause more harm than good.
If it is in your budget to take her to a vet go to Dr Natalie Antinoff at Avian and Exotics, She is in Houston and did exotic squirrel denstistry for me in the 1990's at the famed Animal Medical Center in NY City.
If you can do this contact me by PM and I will call her tomorrow and get you in the door.
Mel1959 is right, she should get some antibiotics if a cat had it's mouth on her. Sounds like mouth/jaw damage in addition to the head trauma which may lead to dental issues in the future. Dr Antinoff is a top rodent dentist and can make corrections to teeth for proper growth if caught early. Dr Antinoff probably has a hand held dental camera for detailed X-Rays.
She may be non-releasable.
Here is the website: https://www.gcvs.com/service/avian-exotics/