Yes they do.

I’m not sure this is a big deal tho.

Doesn’t everybody reject anybody that they aren’t attracted to? Kinda feels like we making a big deal out of normal stuff only when women do it.
I.e. shytting: birds do it, dogs do it, babies do it, men do it. But somehow...it’s nasty if women do it.
Displaying emotion: animals do it, babies do it, men do it...but somehow it’s a problem if women do it.
Having sex: Well you know how that goes...
By now you get my drift.
It just seems like women having any physical preferences is demonized even though it’s completely natural.
So yes. There are some chicks who don’t want to date shorter guys. And there’s nothing wrong with that.
Do men reject chicks if their asses ain’t fat, don’t have the right skin tone, don’t have enough titties, don’t like the way their faces look, don’t have pretty feet, don’t like the way their hair looks, don’t like the shape of their mouths? Eyes too far apart...
But other factors can impact the degree to which height is taken into consideration.