Yep, this is weird. It is, I'm sorry to say, a business and she just lost a little income stream from you.
She clearly has her own agenda, one that seems to have nothing to do with you.
Yes! Bravo! Good for you for recognizing it wasn't a good fit and moving on.
ps: I think this therapist needs therapy. She seems to have an attachment disorder (!)
If there is anymore contact, just mark it 'return to sender' & for heaven sake don't read!