I think the issue is still in the long grass and will remain there until it cools down a little.
I would not be surprised if Carrie were GC. She was brave throughout the Stephen Warboys affair, she is close to Nimco Ali, and generally seems to know her own mind, whilst keeping her head below the parapet. Dominic Cummings is married to Mary Wakefield who is commissioning editor for the Spectator, known refuge for GC journalists, whilst Andrew Gilligan who wrote some very good GC articles whilst at the Sunday Times, is now a No 10 adviser.
Other than Penny Mordaunt, it is hard to think of a member of the front bench who is obviously GC, and many of the Tory rank and file are clearly not.
Boris just needs to pick the right time. He is dealing with coronavirus, which few Governments have handled well, and with the economic/employment fallout still to come. Brexit is looming on the horizon, and Cummings seems determined to "sort out" the Civil Service. Now is not the time to have a war on woke.
The time may come. There will be court cases, Stonewall continues to overplay their hand and people (including those who traditionally fell under the Stonewall umbrella) are getting tired of the gender bollocks.
(Wfh DH, unusually, left his speaker on, but his microphone off, during an organisation wide "discussion" for international non-binary day. I moved out of earshot but only after the woke vocabulary bingo card was full. As far as I could see, he was not alone in using the time to continue with emails and the occasional phone call. He tells me that research suggests that "diversity training" has very little impact on an individuals views, and indeed may cement resentment. Views are mainly formed from personal experience so capable colleagues who are gay/black/disabled/Muslim are far more influential. Focus really should be on enabling and supporting talent from non-traditional backgrounds.)
I think Boris will move when it is clear that such a move will have popular support. And this happens by women, and others, speaking out.