I don't know about the T factor here, but I want to say that when I had many fears about a major surgery I had, someone reminded me that I was in the good, kind, caring hands of people who chose their profession because they like to help people and take care of their illness. People who are highly educated, highly skilled, experienced, dedicated.
Of course you have some fears - it makes sense because major surgery is not an everyday thing. It is unusual for you.
But I hope that you can be comforted by the thought that:
You are in very good hands