At least to the 3rd episode, at most the 8th episode.
Soo, now we have synopsis for 4th and 5th episodes:
Episode 4: "Who Are You?"
"A new villain with an eye for all things that sparkle drops in on the city.
Kate attempts to find a balance between her personal life and her new role as
Gotham's guardian.
Catherine has an uncomfortable encounter with
Alice who always seems to be one step ahead of the Kane family.
Batwoman pays fangirl
Mary a visit to ask for a favor. Meanwhile,
Jacob and
Sophie try to piece together who was after their prisoner.
Luke continues to finetune Batwoman's arsenal of weapons as the pair track their unwelcome visitor and discover she has more sinister plans than snatching shiny objects."
==>
http://thefutoncritic.com/listings/20191011cw01/
Episode 5: "Mine Is a Long and Sad Tale"
"Alice takes Kate down the sad, winding road of her life in the days after the accident as Jacob and Sophie attempt to track them. Mary has an argument with Catherine which sends her looking for Kate at Wayne Tower, but instead she becomes unwelcome company for Luke."
==>
http://thefutoncritic.com/listings/20191017cw01/
Sooo, do we have any clues if one of these episodes (3 to 5) will take place AFTER Elseworlds?
It looks like Kate will have the red wig in Episode 3 ("Down Down Down"), the one that she had in Elseworlds:
http://batwomantv.com/batwoman-down-down-down-photos-gabriel-mann-is-tommy-elliot/
Also, photos for Episode 4 ("Who Are You?"):
http://batwomantv.com/batwoman-episode-4-photos-who-are-you/