It's seriously offensive but I'm guessing that's the whole point to put woman 'back in their place as lesser beings'?
gamerchick, that's it exactly. 'Cis' is designed to displace women from the subject position within our own category of being. The women who do use it are signalling their subservience, their acceptance of their 'place' in the sex hierarchy. That's why it's so often preceded or followed by an apology or confession of ignorance/humility ('As a cis woman it's not my place to say...')
In refusing to apply it to herself, Alison Moyet was explicitly rejecting this subservient position; she was refusing to be reduced to a subcategory within her own sex. This is why, even though she apparently endorses every other aspect of trans ideology (including 'TWAW'), the TRAs came so hard for her. Can't suffer a woman who refuses to submit to her proper place in the Church of Genderism, where up is down, left is right and women oppress men simply by existing as independent beings.
Most women I've spoken to weren't aware of it and then rejected it.
Rowantrees, I'd wager that all women have a visceral response when they first hear that they are supposed to relabel themselves 'cis', because consciously or not, they divine the true meaning and purpose behind it.
However. Due to our socialisation, women are easily manipulated via social shaming and appeals to sympathy into adopting things that are harmful to us. Women are also more self-conscious than men about their public virtue (this is because women are used to being blamed for things that aren't their fault). TRAs ruthlessly play on this socialisation when 'educating' women about why they must relabel themselves cis. I'd bet that if you had a roomful of women who'd never heard of 'cis' and whose first instinct was to reject it, and put a group of trans activists in with them for an hour, by the end you'd have more than half who were willing to accept 'cis', and worse, shame and guilt trip the recalcitrant ones about what prideful, insensitive women they were.
I think we need to reject it en masse.
As others have said women are already rejecting it en masse, by ignoring it.
In the media, I usually see 'natal woman' or 'biological woman', which is irritating enough because they are tautologies, but I take your point, UglyCathKidstonBag, that 'cis' might be creeping into use in the media. And given the momentum of trans activism, especially the success they've had in imposing their Orwellian language norms, it could overwhelm us in a few years. But I worry that any kind of organised campaign to disavow 'cis' would only have the unintended effect of boosting its profile.