Not sure if others are replying to your question but I guess the way I'd see it is once you made a good case and you were turned away, perhaps that is when you leave and go on to the next town. If you spend all your time just trying to hammer on one guy, you are going to be held back from the many others you could be talking to... just my thoughts.
I've gotten comments suggesting that if there's ANYONE in a city or country that doesn't reject a missionary, then it's not outright rejection.
That makes some sense, but it still bothers me that if a missionary spends a year in a country where one person accepts Christ, when he could have gone somewhere where acceptance would have been much higher, then the overall effect is Satan wins more souls.
So is it more important to allocate missionaries evenly throughout the world, or is it more important to put them where they win the most souls? Tough question if you're a Christian.