I completely understand that therapists are people with families and their own lives but...they should understand that for their job, they work with people who need support and a consistent relationship. Most of us are in therapy because of some kind of failed relationship(s) in our past and therapists are supposed to help us through that by providing a trusting and stable relationship.

My T has canceled on me once and I was pretty upset but she quickly rescheduled with me when I requested another time that week. She understood that our meetings are important to me and worked me into her busy schedule.

I think you deserve better than what your T is giving you. Maybe she needs some time for herself to deal with her personal life but that should not stop you from getting what you need, a supportive and reliable therapist.