Call me cheap, but when I was investigating a cold start issue (right after I purchased the car, my first job on it), one of the TTS terminals broke when I tried to remove it, just like yours (the screw was stuck, and when I applied more force to get it to turn in its path, the terminal broke off).
At first I was a bit down (first thing I did was to damage the car…), and worried I might have a lot of difficulty finding a suitable replacement. I started to investigate the issue and found out about modern replacements from Bosch (what you see in the picture above).
Then as I was looking at the old part closely to make sense of the markings on it, I noticed that the terminal is in fact glued in place, and makes contact with the inside of the TTS through a very thin piece of (probably) brass, sort of S-shaped, and that it might be possible to restore the original TTS’s function (if not the esthetics) by re-gluing it in place. It worked perfectly. I checked the connection (continuity) before (and after) gluing, it is excellent. As I used very strong epoxy, it isn’t as pretty as it was before, but it works just fine.