Given $arg\bigg(z_1-\large\frac{\Large\frac{z}{|z|}}{\Large\frac{z}{|z|}}\bigg)=\frac{\pi}{2}$ and $\big|\large\frac{z}{|z|}-$$z_1\big|=3$,then $|z_1|$ equals

Question

$\begin{array}{1 1}(A)\;\sqrt{26}&(B)\;\sqrt 3\\(C)\;2\sqrt 2&(D)\;\sqrt{10}\end{array}$