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The CW published its schedule for January 2021.
8 PM: Batwoman
9 PM: Charmed (new time slot)

8 PM: All American
9 PM: Black Lightning

8 PM: The Flash
9 PM: Superman & Lois (new drama)

8 PM: Riverdale
9 PM: Nancy Drew

8 PM: Walker (new drama)
9 PM: Legacies

8 PM: Penn & Teller: Fool Us (new time slot)
9 PM: Whose Line Is It Anyway? (new time slot)
9:30 PM: Whose Line Is It Anyway? encores

S16 Fall 2020 Schedule

They also shared the new "season 16" (or 15 part 2) promotional pic:

At the same time, The CW announced Jared Padalecki's new series Walker is set to premier in January. 

Walker Schedule Graphic

Walker's promotional photo was also released!

Entertainment Weekly also covered the news: The CW pushes return of its shows to 2021, except Supernatural

So we will see the ending of Supernatural before beginning our new journey with Jared on Walker!

We will update as more information becomes available.