In a reaction, you won't have every single molecule of starting material A reacting with every single molecule of starting material B all at the same time. It takes time for all of the molecules in the beaker to run into each other, bouncing off all the solvent molecules and everything else in the flask.
So suppose, right at the beginning of your reaction, you throw your amine and acid chloride together and start stirring. A molecule of amine runs into a molecule of acid chloride and adds to it. A chloride ion is released. What will happen to it? Remember, your beaker right now contains your amine, your acid chloride, your solvent, one molecule of product, and one chloride ion...