I am so sorry you are going through this! Many but not all CBT therapists do not know how to handle transference.
I think I have had moments of what you describe. From what I understand therapy can awaken old neediness and unfulfilled needs from when you were younger. It can hit like a tidal wave.
If you have the opportunity to do psychodynamic instead of CBT I would recommend it, having done both. Take care! It sounds painful!