At to OG's post: Davidson has had no interest in stopping Brexit: she's never backed calls for a second referendum*, she spent her time yesterday urging anti-No Deal MPs to find a route that doesn't end up with what would ultimately mean revoking Article 50. Yes, she voted Remain, and yes, like most Remain supporters she remains unconvinced by the project. But supporting the idea of reaching a withdrawal agreement, of some form, with the EU is categorically not "ignor[ing] the public".
It's astonishing that a No Deal Exit, which was in 2016 at best a threat that was dismissed, rather than a promise to be embraced, has suddenly become the only acceptable form of Brexit to the exclusion of all else.
*I suspect that a good deal of her opposition to a second referendum on the EU question is rooted in her desire to avoid a second referendum on Scottish independence -- clearly, supporting the first would destroy any possible opposition to the second -- but still. A backstabber Davidson is not. In her letter today she expressed her concerns, but urged people to back Boris Johnson in his pursuit of a new Brexit Deal.