Awww what a sweet story! Ive dated shy guys and i used to be really shy, too. What i would do is to have unofficial "dates". Simply ask her to hang out, get a cup of coffee, go for a walk. Dont call it a date yet. Let her decide. If you hang out casually, you will get a sense of what she is like outside of school, and if she is interested, she may say so or flirt or show signs. Build up the friendship first. Best romances already have established a close friendship. So wait until you both feel very close, then invite her to somewhere more romantic, or make it appoint to spend time watching movies at each others houses. Best of luck!