Tricky question right?
They both have their advantages and disadvantages, which is why having both would really create a great webpage, but if you had to choose one… I’d choose organization every time.
An organized webpage will trump a well-designed webpage because the content is always more important than the look (in life as well). If you create a webpage with the best design elements, pictures, videos etc, but there’s no way to find any of it then what’s the point? Having a plain page with no elements but readily available content will still allow users to find what they need quickly and easily.
The best way to organize a webpage is through links, tabs and lists which can separate different ideas or subjects. Angel is a great example of a webpage that has minimal design elements but is extremely organized. Students can easily find their courses at the top left and announcements in the center, scroll down and you’ll find your e-mail as well. The design elements of the page include a simple header with the school emblem and a simple green and white color scheme.
In few cases design may actually be more important than organization. Typically when a website isn’t content heavy and may rely on entertainment or gameplay webpage deign can take precedent.