Diagnosing mental health conditions, including personality disorders, should be done by qualified mental health professionals who have conducted a thorough assessment and evaluation of the individual in question.
It's important to remember that speculating on someone's mental health without appropriate evidence and expertise is not appropriate. Ayn Rand, a prominent philosopher and writer, passed away in 1982, and any speculation about her mental health would be purely speculative and unverifiable.
If you have concerns about your own or someone else's mental health, it is best to seek advice and evaluation from a qualified mental health professional who can provide proper guidance and support.