ok, to be somewhat on topic and constructive (seems some got offended by my prev posts, since they were more of general advices, not tailored to one post specifically):
how did the first date go? if you'd care to share it, maybe it would be useful for some.
the general rule is to wait 3 days, and after that in a short call set up another date, without any awkward extra convo. if you wanna date her on the weekend, the middle of the week is a good time to set up the date.
if she turns it down, she should provide an alternative, if not, chances are high she is not that interested, and it will be harder, or better to next. since i do not know the situation, i cannot tell anything regarding that.
1 piece of advice with the relationship stuff. it is not a bad thing, just be careful not to get the oneitis. she will sense that and it will be detrimental to the LTR. but i think you already know that.
as a guy, your first goal should always be plate/get into the panties. it's the girl who should push for LTR, and the guy to accept/reject that. i usually haven't seen very much successful LTR's when the guy went on the emotional path from the start.
just sayin'. i hope it helped.