Well FanFic hasn't done this for a while. Er, I'd like to point out that in Secret Santa, you normally don't wish for anything, the present is a surprise. I might be wrong of course.
I guess the actual handing of the Pokemon would be via trade, but shouldn't the one who gives you the present be the same person who receives the present from you, then? That would contradict the idea of Secret Santa.
Sorry if this is confusing, but I just don't know how this can be done in practice.