Can I still do this or just forget about it?

A girl in my philosophy cl suggested we should hang out some time and when emailing back and forth once said we should do drinks at some point or something like that. I responded in the affirmative but the getting together with her never happened due to the busyness of school and such. Her schedule seemed to be so packed with other obligations that I didn't know how we'd ever make time to get together. So we haven't spoken in about 2 months now (she doesn't use MSN and the computer or cell phones very often) as school became extremely busy for me and her life, as I heard through others, became even more consumed with stresses beyond school and work that it didn't seem a priority to talk at the moment. Plus, I believe I was somewhat intimidated by her though I realised I shouldn't be and maybe use the above as an excuse which is another social fallout of mine, sigh but I won't get into how I let people who actually want to try and get to know me slip away. I just don't want to do it anymore and it's time to stop. Well, all the busyness has come to p, at least on my end, and I'm wondering if it would seem weird if I were to email her practically out of the blue and bring up drinks or some kind of conversation-in-person thing to do. I would be surprised to receive an email like that, but would you say no? Especially if you didn't know each other very well? I'm just going to guess she'd probably not reply back and not bother with me as she likely thinks I blew her off from all that time ago and plans never panned out before. But it doesn't hurt to try anyway right? The worst I can get is no response or a "no, sorry, can't" so maybe it is worth a shot just for the sake of saying I tried. So, is this something that is commonly done after such a long ping of time and maybe ok for me to do? Social ettiquette isn't something I'm terribly good at but I'm learning and hopefully improving.