I can totally understand the point, that you dont want to embarrace her. You enjoy the time with her and you are afraid to loose her if you ask for a date or tell her about your feelings. This is no easy situation, but i guess you will be sad if you miss the opportunity to tell her about yout feelings etc. Sorry for my Bad english, i am not a native speaker... I am in a similar situation, looking forward to ask a girl for a common activity to spend more time with her. But i am also afraid to "destroy" our relationship instead of getting it to the next level...