Today is the special day that I celebrate each year. At my latitude (42 degrees North), the earliest sunset of the year is December 9th. At my exact location, that sunset time is 4:12:06 PM, Eastern Standard Time. More or less. And behold, my Sunset Clock is showing all the sunsets for the next two weeks occurring later than today! This is the sort of thing that makes me happy.
If you are puzzled about the earliest sunset happening a few weeks before the shortest day, I agree with you that it is a little puzzling. My best effort explaining can be found here: The Earliest Sunset.
Now onto the important part: names. A special day deserves a special name. As a late riser, today has more significance than the solstice itself. When the sun rises is a matter of extreme indifference to me.
Last year I proposed to calling the day Seculus, following a recommendation that I came across on the web. But that idea didn’t gain much ground. So let’s try another one: Crepusculus, after the Latin for twilight. So? Will it sell? What do you think? What name would you prefer? These things matter. Hallmark will pay you big bucks if you can cook up another cardable day.