Kind of a necropost, but:
https://www.gigacalculator.com/calculators/height-percentile-calculator.php
Average global male height ~= 178 cm / 5' 10"
Average global female height ~= 165 cm / 5' 5"
Also:
https://www.sciencedirect.com/science/article/abs/pii/S0191886913000020
So obviously this is studying primarily cishet men/women, but broadly speaking, cishet women prefer taller men more strongly than cishet men prefer shorter women, by a factor of roughly 2.625x.
The 'women prefer their men taller' thing is not just... a thing people say, it is a pretty broadly and strongly held preference.
So thats means that a 5' 10" average guy will tend to be well satisfied with a 5' 7" woman's height, but she will tend to not be well satisfied with the man's height, with herself on average, ideally/maximally, looking for a 6' 3" man.
Even if it was a 5' 10" man and a somewhat shorter than average 5' 3" woman, she'd still tend to ideally/maximally prefer a 5' 11" man, on average.
The ... magnitude of the strength of the preference for a taller man, held by a woman, probably does vary from place to place, because average heights vary from place to place, cultures are different, etc, but there is empirical backing to the idea that women very much prefer taller men.
I encourage you to actually read through the study and look at the figures, if you want more info, snd there may be other similar studies I've not yet found.