I get your point but I can't let pass such formulation as "social gender norms". Hormones have real impact on brain. I can't let says it is cultural especially since neo-feminist talk a way that despises feminity as if it was something bad or the result of some machist culture. Women in Sweden are, based on feminist criterias, more free to choose than women in asia. What did researchers discover : women in Sweden tend to choose more "feminine" studies when women in asia will choose rather "masculine" studies. Based on current neo-feminist theories, it should be the opposite.
Now, come back to the OP point. Most gods-like characters are based on mythical sources where males are beast and women are dangerous beauties as a metaphor of the Nature. Is it possible to make more human-male-looking bosses? Of course. But it is not useful to use such words as tawdry or obscene.