It's not strictly her personal account when it's posted on LinkedIn, her professional website, before and after her professional talks, etc.
Besides that fact, none of her talks, papers, blog posts, etc., practically none of them are about engineering.
And ON TOP of all that, the OP was asking for examples of things she's said or done that were unprofessional. Her Twitter account being personal or not is immaterial to the fact that she's posted and retweeted ridiculously unprofessional things.