Who told you that you had BPD? Was it a formal diagnosis?

Usually when I see "BPD", I think "borderline personality disorder". Personality disorders are commonly distinguished from mood disorders, such as depression. Here's PsychCentral's recently updated page on borderline personality disorder. I suggest reading this article as well: BPD: Facts vs. Myths. Regrettably, BPD is surrounded by stigma.

If a label is not of real-world, practical help, you are not obligated to "own" it.