As has already been advised, it's only a problem for you if you make it one. Of course there are women who will literally only date 6ft+ guys, just like there are women who will only date black guys or only date guys from certain religious groups, but that's their problem not your's.

I'm 5'8, and my ex girlfriend was 6'1. There was a noticeable difference in height between us but I didn't care and neither did she. I remember we once got talking about it and she told me I was the first guy she'd dated that was under 6ft. She said normally she would never usually consider dating guys shorter than her. When I asked her what made her date me who was quite a bit shorter, she couldn't outright put her finger on it, she just said 'You're different, you're just you'. I'm no different from anyone, I'm just content with the person I am and don't let trivialities like height bother me. That was what she was attracted to, my height never mattered to her because it did't matter to me.