Should I even trust her anymore?

Tell her straight to her face with an elevated, angry tone,

"(Her name) I really enjoy hanging out with you, but I cannot keep having you gossiping, spreading rumors, and totally ruining my self-image. The next time I tell you something I expect it to never leave your head, okay?"

If she blows it again, just don't tell her personal information anymore, or just stop being friends. She is likely the kind of person who thrives off of drama and would rather see the world in chaos than have a moment of silence.

I hope it works out.

You need to talk to her and be stern and angry and say " Your a cool person to chill with and hand with but I don't appreciate you gossiping and spreading lies." She'll get the message after that and if she does it again tell her that you don't trust her and make her either earn your trust back or just stop being friends with her . You need to be able to trust your friends and not worry that they'll run and tell someone else what you tell them in complete confidence.

Some people can't hold their water. So, now that you know that, don't share things with her that you want to keep private. You know how she is. Find someone else to tell secrets to whose mouth is like Fort Knox.

Good luck!

well you can tell her stuff but just be careful what you tell her and about the trusting part that's up to you.