First, just because she becomes a conservator does not give her grounds to have you removed as trustee. There would need to be legal grounds for your removal.
If your dad was competent, the simply thing to do is for him to amend the trust to have her removed as successor. I am assuming this is not possible.
You should immediately retain counsel to object to her being conservator and to explore the possibility of having her removed as a successor if CA allows for this. Hire an experienced estate/probate attorney immediately.
Hope this helps.
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