I am 5'2"
When I was younger (17) a girl who was 5'4" was very interested in me. She also had a girlfriend who was 6'0" whos boyfriend was 5'4"
Problem was
a) her other suitor as 6'0"
b) I felt intimidated by her
c) I felt she would leave me for another taller man.
d) I felt everyone would stare/other men would disrespect me by hitting on her in my presence/etc.

3 years later on the internet I had a good chance with a 5'8" woman - she was in fact going to fly to my country and see me.
7 years later, same,  a 5'5" girl wanted me.

So overall, I do not know if its more the men or women who have an issue with shorter guys. In my case it was (probably) me (not 100% sure because I would have to pursue it first, which I didnt do).

But I think in general it is the girls who want taller men.
In my case, this has made me so scared (bullying by other males/ignored by females) that when my dream girl comes along - I cant do anything. Though even, hypothetically, if I was not bullied and ignored a lot - I have internal issues with taller women. Sad, because those are the only kind I want.