I think the best way is to give the budgie some time. For example, you can bring the cage next to you while you do your work, so the budgie, through its trance, knows that you are safe to be with. You should avoid making a lot of persistent eye contact with the budgie, because you might just make it more nervous. While you work, you should talk to the budgie cheerfully and smile at it every now and then. After a few hours, you should start taking your budgie's favorite treat and hand feeding it to her and making parakeet-noises ( i do that a lot with my five budgies ). You should also lock your cats in a room EVERY SINGLE TIME you bring the bird out, to prevent the same thing to happen. Good Luck with your budgie!!!!

but then my cats chased her she was unharmed but she wont come out of her cage she wont even sit on my in her in her cage. I love her a lot and want to know how to get her to like me again any answers