Thank you for writing. It sounds like your therapy has had a difficult start. The first few sessions are always the time when therapist and client get to know each other and start to figure out how to work well together. I doubt very much that the therapist intended to hurt you or to avoid your problems. Something got lost in your communication with each other.
Since you do like her, I think you should bring your letter to the next session and show it to her. Ask her to help you understand why she was asking the questions she did. See if you can have an honest conversation with her. Tell her clearly how you feel. Often that kind of conversation creates a fresh start. But sometimes it doesn’t. If, after having an open talk, you still feel like this therapist doesn’t understand you, then it only makes sense to try someone else. Every therapist isn’t a match for every client.
I wish you well.