Winner: Shayna Baszler
We might be presuming too much by saying this, but it appears that these RAW tapings were Kairi Sane's final televised appearances for WWE and that she has now left the company. If that's true, she went out on a high note, as this match with Bayley was good and she got the win.
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One conspicuous part of the match, though, was Shayna Baszler watching. If Kairi Sane has left, it wouldn't be surprising for Baszler to attack her on next week's RAW in a brutal way, calling back to their long history in NXT and setting up Asuka's next title defense after she presumably defeats Sasha Banks next week (we should note again that the Extreme Rules match was supposedly changed so there could be a rematch on RAW as an attempt to grab ratings).
It will certainly be sad to see Kairi Sane go, but if this goes as I expect, WWE will do the most with the departure, setting up a new storyline in the process. It's just a shame we likely won't see the Asuka vs. Sane match we've all been waiting for,