Hi, Lucy300, welcome to PsychCentral (PC). I'd stay with having "emotional instability, obsessive thoughts, and anxiety" and not try to lump it all together; yes, people with borderline personality disorder can have those things but have to have a couple specific others to get a diagnoses of that disorder. That your psychiatrist told you those three issues he saw for you instead of telling you you had borderline personality disorder is actually kind of a blessing as it sounds like three issues you can work on rather than just a "Borderline Personality Disorder" name that is pretty meaningless in and of itself?