设函数 $f\left(x\right)=\left\{\begin{array}{l}1-x^2,x\le 1\\ x^2+x-2,x>1\end{array}\right.,$则 $f\left(\frac{1}{f\left(2\right)}\right)$的值为（）

A．

$\frac{15}{16}$

B．

$-\frac{27}{16}$

C．

$\frac{8}{9}$

D．

$18$