There is a reason I am not the only person to say this.
You asked her out.
Then you say you don't want her around but you let her hang around.
This is give and take, your behavior is encouraging her behavior.
"I have no idea how to communicate with her" says "I want to communicate with her"
If that is so, you and she are both in this. If it is not so you are giving her mixed messages. Disconnect if you want to, it would be kinder for her.
Perhaps she doesn't want to go out with you or anyone. She might just want to feel she could be a friend without it being about sex/romance. Ask her if you want to know. Maybe she likes to hang out once in a while without pressure to play a particular role for you.
She already told you she has trust issues. Maybe, you should have left her alone when she failed to initiate contact in the beginning. (and how does she know what you are doing and where you will be?....she doesn't have ESP) Sorry if I sound harsh but I am not seeing that you have any real interest in resolving this.