Missteps will happen. You can't always say and do the right thing, because you are human, complex, and the people who you are interacting with are just as human and just as complex. With that number of variables, there are bound to be some miscalculations. When you happen to be the one who miscalculates, apologize...and mean it.
For example: If you make an offer to a prospect, and their reaction alone telegraphs that you were well outside of their acceptable range, in order to get things back on track, you can say something like, "I can tell that my offer has offended you. I apologize. Please provide me with something that might work better for you so that I can try to rectify my misstep."
Some of you might think that you have put yourself in a weaker position. However, let me ask you this. Who would you respect more: the person who makes a mistake, apologizes for it, and means that apology, or the person who defends their position, even when they believe that it is actually wrong, and they may even believe that you actually believe it is wrong, too. Most people would respect the first person more. It takes a big person to admit they were wrong. Be that bigger person. See if people don't respect and trust you more, and don't allow pride to stop you from connecting with other people.