OK, so just to make sure I have the story straight: the weekend you met was the very first time you ever spoke to each other, and it was a complete coincidence that you happened to run into each other, and there was no planning involved, and no thought beforehand that you might be interested in one another. There was never a time that you knew each other, and knew you liked each other, but weren't ready to call yourselves a couple, or tell the world at large about your interest in each other. OK.
All I'm saying is, every couple goes through a period of becoming sure of each other, however long or short it may be. At some point, yes, you have to be willing to go public with it. But until you're ready to do that, it's nobody else's business.