For you to get the best type of answer you should be a bit more informative on how exactly you both even bring up a conversation.
Is she a neighbor ? school mate? friends of a friend? relative of someone you know?
The best way of someone that I hardly speak with to show me that they are interested in me with out being to forward would start with him complimenting me on something I am wearing, the style of my hair, my perfume scent followed by me thanking him; the next move is just observe her reaction, body language, facial expression towards the compliment. If is good indicators then hey, next time you see her say something like foe example "You aren't wearing that ( think you complimented her on previously) but that (whatever you want to compliment her on) is very nice too, you really know how to choose your stuff" and smile and again observe for the good indications and if you want to do similar things a few more times until she gets used to you always noticing her style or whatever makes her her then you take it up a notch by saying something like "So being that you are the girl with the fly style around here (something in does terms, just putt it in your own words) I wanted to ask you to show me where you shop cause I have to buy something for my (sister/mom/cousin) do when are you free? and bammmmmmmmmmm you got a none pressured date and then whatever she says you determine what is going to happen next, but is smooth and not aggressive.
I think is a workable solution for you, I do hope it helps.