I'm 5'8" and wear a size 10.5. You're kind of short and I thought girls your height wear sizes 6-7. My sister is 5'4" and she wears a 8/8.5. My Mom is 5'2" and wears a size 8. I think size 8 is average. Well in my family its the norm cause most of my sisters and cousins are that same size. Most of the time taller women would have big feet like size 10, like myself. Tho 5'8" isn't really tall. Its average. 5'5"-5'8" is average. 5'9" is considered a bit tallish for a girl. 5'2"-5'4" is short lol. Don't worry about it. The shoe size you wear in your mid-late teens is usually your shoe size for life.
its pretty normal, most girls at your height have either your size or smaller But i have seen 5'2'' girls who have size 9 and up!! i used to work at lord and taylor, and occasionally worked at the shoe department