Da locum melioribus! или Hatof ve-ahol ki mahar namut!

What's the real difference, anyway? Perhaps, as a woman, it would be more logical to side with the Christians, but even here there's a nuance: when Hitler was looking for allies, he called Caucasians, Japanese, and even the Germans themselves descendants of the Aryans. So, if necessary, Islam will also find points promising various benefits to women who join them.
Otherwise, I don't see any reason to choose one side over the other, except perhaps for aesthetic reasons.