Being organized does not mean you live in a house that is spotless all the time. It does not mean that nothing is ever out of place. It does not mean that every second of your day is planned and there's no flexibility.
Being organized means that everything has a home, and (with some work & effort) it all ends up there by the end of the day (most days). It means that there are scheduled chores and they usually get done on time. It means that you always know when appointments are scheduled, and you're on time to most of them. It means your bills are paid in a timely manner, you don't have tons of late fees on your library card or at the video store, and you don't have to go back to the grocery store 3 times to get things you forgot.
Being organized isn't about your life or your time being controlled by a schedule. It's about learning how to make efficient use of your time.
I can't count the number of times I've heard (or read) someone say "I'm just too organized to allow that kind of flexibility in our day (or our homeschool)" or "We need flexibility too much to be organized." That is such a misconception! Organized and Rigid are not synonyms. You can be organized and still have the amount of flexibility you need/desire. It may require some trial and error. It may require a little creative planning. It is completely doable, though.