E4 have picked up Batwoman. Strange that Sky One apparently didn't want it.
They did want it, apparently, but looks like they were caught napping by Channel 4:
[as of 6/12/19] Sky say they have the rights to broadcast Supergirl, The Flash, Arrow and Legends Of Tomorrow, and will be showing these seasons in full.
However, Sky has not managed to acquire the rights to broadcast Batwoman… This is due to them having been already acquired by “another party”, but they do not know who has acquired those rights and do not know where or how the series will be broadcast in the UK.
There were some stories going around saying Sky weren’t broadcasting the crisis event at all. Those stories are incorrect. They are, however, holding the 4 crossover episodes they do have until early 2020.
So, yes, this will mess up the crossover on Sky One in the UK, and I think we can say that Sky is just as annoyed about that as the UK Arrowverse fans. But if the rights aren’t there to buy because someone else has them, there really isn’t anything Sky can do about it…