The Terminator (1984)

Chosen answer: Since terminators cannot self-terminate, only one very likely possibility comes to mind: it would have hidden itself away somewhere known to have remained undisturbed in the years between the termination of Sarah Connor and the start of the war, at which point it would rejoin the war effort.

Phixius ★

Answer: Skynet knew nothing about Sarah Connor besides what city she was in in 1984 and that she had a pre war leg injury which they could use as a form of identification. However this injury only occurred in the factory at the end of the movie which would mean the terminator would have no way of identifying the real sarah connor before that time. The terminator therefore could've never completed its mission with 100% certainty because it had no idea what she actually looked like, therefore it may have just carried on hunting out Sarah Connors to increase the chances of getting the right one if it was still in good enough condition to move around unnoticed.

Answer: According to the official novelization, the Terminator looked for a specific injury that the Sarah Connor in question had, in order to insure that she was indeed the Sarah Connor that would give birth to John Connor. If any of the Sarah Connors that he killed didn't have that injury, then he knew that none of them were the Sarah Connor that he was looking for, and would move on to the next one. At the end of the novelization, it is revealed that Sarah Connor got the injury during her final battle with the Terminator, meaning that previous time travel loops had already happened that we didn't see or read about (alternatively the events in the first Terminator film are a causal loop that always happened). Since the Terminator wasn't aware that Sarah didn't have the injury at this point in time, this would mean that he would continue to search the world for other Sarah Connors after killing her. It's a piece of horror that unfortunately was cut from the film.