Just fire off an e-mail too him asking to meet after church or for coffee. Priests, contrary to popular belief, are people too.
And, yes. It will be awkward. You're meeting someone who has dedicated their life to something you are trying to understand. Once you get to know one another you'll feel more comfortable.
Fun fact: it took me four months to first go to and Orthodox Church and talk to the priest after discovering Orthodoxy. So, yeah. Totally normal.