I’ve literally never heard of a woman talking about “I don’t date men under X height” in my entire life. Then again I’d never even talk with a woman like that in the first place.
I’ve certainly noticed the trend of smaller girls always gravitating towards taller men, but nothing so silly as “I don’t date small men”. As a small guy myself, I actually dated a few tall girls without issue, and happily married to a lady two inches taller than me.
As I always say : my height isn’t the dimension you’re gonna care about, once we are lying down.
I was really hoping OP wanted to drop the polar bears on a tropical island. For science.