What is a woman's hat called?

I'm curious, could you please elaborate on the terminology used to describe a woman's hat? Is there a specific name for it, or does it vary depending on the style or material? It seems like such a simple question, but I'm genuinely interested in understanding the nuances of this fashion accessory. Could you perhaps provide some examples of different types of women's hats and their respective names? Thank you in advance for your assistance.