Yes, there would have been no need for the US and the armed forces to overthrow democracy, if only the Chilean people had voted the right way.
It would have been a very troubled 4 years under Rodriguez, we would have seen lots of strikes, and extreme right targeted killings of leftists. The government would have limped on to 1974 when a new president, Salvador Allende would win a bigger plurality (40%). The big question is whether, with Nixon occupied with being impeached, there would still be a CIA coup, my gut feeling is yes.
So the result would still be CIA 1, Democracy 0, but the match would be a year later.