It premiered to 18.3 million viewers and immediately fell to 8. Season two has had the following numbers so far: 6.33 and 5.49 million viewers. FOX cancelled New Amsterdam (which was cheaper to produce) when it hit the 7 million mark. Something tells me this show ain't long for this life.
Wanted to clear a couple of things up before I did anything else:
1) New Amsterdam wasn't cancelled because of ratings; it was cancelled before it even aired (it was actually one of the first casualties of the new season last year, and one of the only series - if not the only series - to be cancelled by circumstances not related to the writer's strike). The truth is, the only reason FOX aired NA at all is because they were strapped for programming in the wake of the strike.
The irony here is that FOX cancelled a show that had a modest audience with 7million and was cheaper to produce. They had too much hubris to reverse course and keep New Amsterdam because some suit(s) decided to cancel it early as laid out by Digific.
TSCC while being familiar wasn't that great a show. Each episode was by and large watching chunks of T:2 play out over and over again.
I've decided to not watch S2 of TSCC due to what I saw in season 1. The characterization is off and the stories could be written by a group of us non-professionals on this board. I bet TG and Christopher(any of our known pro novelists BBS'ers) could write better episodes.
That said I agree with another upthread that the show will run until the movie. It'll likely get its full second season. A season three would only happen if they attempt to be relevant to the "real" Terminator timeline, aka the movies. TSCC is like Earth 2, fun enough but not as exciting as the primary one.