Davidson is an ultra British nationalist, who has long been handled and guided by British intelligence as she is viewed as the best bet of preventing Scottish statehood.
This course of action will have been decided for her, as the best strategy for minimising the damage to her reputation in the eyes of Scottish people to keep her untainted for the expected referendum on the horizon.
In the same way they distanced her from the Rape Clause etc, they are trying to put distance between her and the damaging policies of her party. She will be championed now as some defender of the union and an attempt will be made to engage in populism similar to that which won Brexit with her as the figurehead of some new movement which won't be new at all but will allow them to unburden her of all the negative connotations of a no deal brexit, that's all that's going on here.
She will either become a Lib Dem, form a new grouping like the wallopers down south or the 'Scottish' Tories will pretend they are in any way different to the scum down south and she will be their detoxified figurehead.