What determines the gender of the infected wolf mentality, genetics, the gender of the wolf that infects you, a combination of some or all of the above, or can this question not be answered for spoiler reasons?
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A wolf's mentality is influenced mostly by their prior mindstate, twisting their goals and desires into something almost entirely alien to who they were. More weak-minded individuals become more baser in their feral desires, becoming more uniform with their new pack, while unique and powerful individuals typically stand out much more in their new form.
Their fur pattern and gender are essentially random, with the distribution being a skewed 80/20 split female/male. Nobody really knows why there's more females, but the males aren't complaining one bit.