I'm troubled by these two statements:

So I acted to intimidate her, with a display of force. I punched a table to say - "I will not be bullied". Mistakes I can forgive but I want accountability and a proper apology..

and

Yes indeed, and regardless of what led to that event and any circumstances I should not have acted as I did.
Losing something so valuable as a consequence. I'll make it a learning experience.

The first sounds as though this wasn't really an outburst, but a decided action. You didn't get the response you believed you deserved, so you sought to punish your T--teach her a lesson. And the second reframes the episode as regrettable because of the loss to you of a relationship of value. Neither statement reflects any sense of empathy.

I think it's understandable that people have strong reactions to this intimidation through anger behavior. Many of us were subjected to it as children. Perhaps you were as well.

Did you specifically choose a female T? You might do better to choose a male going forward.