Girls, Is 5'8" (172cm) too short for a guy, when it comes to the dating scene? (Rejected because of height)?

Anonymous
I'm 18 years old, and 5'8" barefoot. With shoes on I'm 5'9". I KNOW that this is on the short side for a guy in general; but is it so short that it's going to cause me major issues when it comes to dating? Today I was talking to a girl who I found cute, we were already acquaintances and I wanted to take it just a step forward. So as I tried to squeeze in asking her number to possibly arrange a date, she says, and this is word for word: "sorry, really, it's just that you're kinda short. I definitely would if you were a little taller!" She asked me for my height and said she likes 6 foot+ guys. She also said she's 5'1" (looks like it too). There was a notable height difference and we both had to tilt our heads a little.

TLDR: a girl rejected me for being too short even though I had an easy 7 inches on her (please no sexual jokes lmao). Is 5'8"-9" going to cause me actual issues, or was it just a way for her to turn me down because she didn't find me facially attractive (which I'm absolutely fine with, we all have different likings)?
Girls, Is 5'8" (172cm) too short for a guy, when it comes to the dating scene? (Rejected because of height)?
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