Not a problem. Consulting is definitely an industry that takes people from all kinds of background.
I am not sure where you are in the process. However it is important to have at least some idea about where you want to go in order to develop a shortlist of schools you want to apply to. This can be as broad as marketing or consulting or finance. This is important because while you can pick up the core skills at any good MBA program, they do vary in terms of which industries they place well into.
P.S. Not to do all the leg work for you but check out Bridgespan. It might appeal to you with your non-profit background
Haha, yes it should probably be something I figure out myself, but seeing one example is very helpful in envisioning the possibilities, so thanks a lot. I will apply in the first round of next year, so my plan until then is to shore up the quantitative aspect of my application while also honing in on my desired focus, in turn narrowing in on which schools I will apply to. So I would say I'm very much at the beginning of the process, but I have some time. Thanks once again for your response. Very helpful