In which 1984 movie does a cyborg assassin travel back in time to kill a woman called Sarah Connor?

The Terminator.

On this 1984 movie, directed by James Cameron, a cyborg murderer often called the Terminator, performed by Arnold Schwarzenegger, is shipped again in time to kill Sarah Connor, performed by Linda Hamilton, to stop the delivery of her son who will lead the human resistance sooner or later struggle towards machines.