Art - it's subjective! Items that are "fine art & fine craft" are of course handmade, but are also finely created artistic items and typically non functional, but in some instances, may be. Think of "handmade" items as more functional or useful, not that they are not also artistic and creative. Consider where a prospective buyer might go to find your item when deciding how to list it.
The term 'fine' before art or craft does insinuate the mastery of something, IE training, development and years of practice toward your art or craft. Such works are not easily duplicated by someone with less skill/training/practice.