I don't think you should try and find out how she feels - yet. You can tell her that you like her (by which ANY girl would be flattered by ANY guy) and tell her you'd like to get to know her better - maybe she'll say the same back - she can't exactly reject you wanting to get to know her better. This will give you an excuse to go and talk to her, and help her see through your 'clumsiness'. However, once you've told her you must try and get to know her, don't give up and make sure you talk to her as often as you get the chance.