I'm yr choice-A-picker, up there. And I'm also an inveterate shoe-whore, so, I'm talking like 6'8" or 6'9" off the ground, here, lol.
The handful of times I've met men even taller than that, it's just been like "meh". I mean, I'm a sucker for aesthetic male body proportions, and, that's definitely a thing that 7-foot dudes do not have. LOL
My husband is about 5'11" and I feel like a teeny tiny little girl standing next to him.
First of all, your idea of what female heights are considered tall, average, and shirt are skewed. 5'8" is quite tall. Most girls I know are between 5'1" and 5'5". I'm 5'6" on the tall side of average. And no I wouldn't date someone shorter than me.
I didn't think that I would initially, but when everything else is right I have found that I really don't care what his height is. I'm 5'11" and I'm currently dating someone that is 5'5". I noticed, the first couple of dates. Now, I don't see it all because there is so much more to notice!