Well, my recommendation is don't talk like an Incel if you don't want to be mistaken for one. Because when you have a stand alone sentence that says, “Women are shallow and money driven” it sure sounded like your sole point was that women are golddiggers. I don't know you - all I have to go on is by what you say.

Yes, our culture favors tall men. But that's a function of living in a dominance based social system, which is what patriarchy is. The taller man nearly alway gets elected. Taller men make more money and are more likely to be offered jobs than shorter men. It's not just women who want taller men. "Conventional masculine stereotypes" as you've called them are a function of living in a patriarchal dominance hierarchy system.

The association of power with height is a socially constructed phenomenon: taller bodies are institutionally and discursively imbued with power. Women live in the same social social system, so naturally they are exposed to the same norms. And, as I've already pointed out, short men still find mates, have successful careers, etc. It makes it more difficult, since they don't have the same institutional advantages, but they aren't insurmountable.