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Hello. Thanks for the question.
This is aggression. It sounds like you are going to need to do some training with the dog to get her to where she is no longer trying to kill or hunt the cat. It's not a quick fix, so I would keep them separated until you get the help you need.
To get this resolved, you'll need to work with a veterinary behaviorist or a good dog trainer. You can find a behaviorist on this site:
As for trainers, I would talk with some of the vets in the area. Ask them who they recommend. If one name comes up a handful of times, then they are probably good and worth looking into. There are more bad trainers than good ones out there. The key is finding one that is reputable in the area and has good results.
I hope this helps, let me know if you have any other questions.
Yeah, you're right. Be careful until you get some help for her.