@Zimbabwe's picture meme about how women perceive height has a kernel of truth. A good portion of women have a 6'0"+ height requirement. Women on the taller side will rarely take anyone seriously who is shorter than they are. The most infuriating women for most sub 6'0" men are the 5'0"-5'4" women who refuse to date anyone under 6'0".
If she's dated anyone 6'0" and over, she is more likely to have a 6'0"+ height requirement. She might date someone under 6'0" if she can't attract a 6'0"+ man but she'll piss and moan about doing so.