I don't think it's inappropriate unless you can't handle getting an honest response. We are perfectly free to ask any question we'd like. We just aren't entitled to receive every answer we want.
Chances are your therapist will not feel comfortable divulging her personal issues with you. For one thing, you are young and impressionable. Her issues may be mild, or they may be mature-audiences-only kind of stuff. Secondly, it's not important to your therapy. Your therapist has amply demonstrated that she has compassion towards you. She shouldn't have to push her boundaries any more than necessary to continue doing this.
No one is ever really going to completely understand what you're going through. Even if your therapist had all of your diagnoses, you would still find yourself disagreeing with her and feeling misunderstood sometimes.
Everyone's experience with mental illnesses is different. For instance, I don't really *get* what most of the folks on this board are talking about half the time, even though I have my own tales of woe and messed-up experiences. This doesn't mean I can't offer good suggestions or opinions, though.
I don't even think it would be a good thing if our therapists had similar experiences as us. They have to maintain some level of objective perspective. I would imagine this would be quite difficult to do if their clients were a spitting image of themselves.
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