Yep. Covered. If she's interested, why not say lets get coffee? What is the harm in that? Thing is, she's old enough to not play these "let's see if he's attracted to me" games. The worst that could happen would be a "no," but from all appearances that won't be the case. I've had quite a few ask me out/coffee/lunch and I haven't thought negatively of them. Different times, my friend.
There are moments in this life when you are so confident in the rightness of your actions, that not even for a second do you consider the option that you might be wrong.