There is that chance that she'll say no, and maybe it would be uncomfortable for awhile. But it's only as uncomfortable as you both allow it to be. Say you ask her, mention it's a date, and she says "A date? Umm... I'm not interested in dating", you can just come back with "Aww man... well, it was worth a shot! Let's head out anyway, I wanted to show you this new coffee shop/resturant/bookstore/whatever"
It's all in your attitude, voice, how you say things... Just try not to let your face fall too much should she not be interested