I'm 5'7". As far as I know, it hasn't affected my passing; I'm easily within normal range for guys (below average, sure, but so's half the population).
I passed yesterday playing contact sports with a bunch of guys wearing just a T-shirt and sports bra, and one of the guys that tackled me with an arm around my waist called me "dude" after the game, so...yeah, I'm thinking I pass and the height isn't a problem.
(Sadly, if people saw me with my biological family, the height might be more of an issue. Women in my family are all 5'4-5'5, and men are all 6'1 and up, and my cousin (who otherwise looks like my identical twin save for a few years of aging) is 6'7.