圆M的圆心在直线y=-2x上，经过点A(2,-1)，且与直线 x+y=1相切，则圆M的方程为(    )

A：${\left(x+1\right)}^2+{\left(y-2\right)}^2=2$

B：${\left(x+1\right)}^2+{\left(y+2\right)}^2=2$

C：${\left(x-1\right)}^2+{\left(y+2\right)}^2=2$

D：${\left(x-1\right)}^2+{\left(y-2\right)}^2=2$