... all we know is Artemis 2 is currently set sometime in November 2024.
With that information we can make some educated guesses:
Date:
- A free-return trajectory requires to fly in the orbital plane of the Moon.
- The deltaV to align planes with the Moon is minimal when the Moon is high over the launch site
- If you are free to choose, you will always pick the launch date to minimize the deltaV.
Time:
- In case of a launch abort the Artemis capsule will splash into the Atlantic. A search and rescue operation is better done in daylight.
Guess:
The image below shows the situation on Nov 18, 2024, 12:00 UTC (7:00 am at the Cape).
The Moon is high in the North in its monthly cycle, and the sunrise just reaches the East coast.
So my guess would be a morning launch in the second half of November 2024.