It just sounds to me like she liked you as a person.

Different therapists have different policies on personal disclosures. I assume that, what she told you, she did in relation to something you had told her -- likely not to use you as her therapist, but for you to better relate to her.

Also, in regard to her giving you a hug, I think it was her way of providing closure on a positive note. Regarding her telling you to keep in touch and call anytime, I'd interpret as that being related to her caring for you as a client, regardless of whether or not you're presently continuing services.

Why is it that there were only six sessions? Something with insurance coverage? In that case, I'd assume that when your behavioral health coverage period resumes, if necessary, you could begin seeing her again.

I mean, on a personal level, I could partially understand you being confused, but I see nothing outstandingly inappropriate. I think maybe she was just being nice and genuinely did enjoy getting to know you.