I was a little worried about being too tall for a girl as well, until I came to university.
There is a girl living in the same dorm that is at least as tall as me (187.5 cm, 6'2''), maybe a bit taller.
She certainly looks like a girl, whether or not she actually is... (I think so, though.)
Therefore, height is not really a disqualifying factor. It helps to see such a person... in person, but they do exist.