Is she really busy?  That is a difficult question to answer.  I mean, people these days are quite active so it is possible that she is busy.  If she tells you that she is busy next Saturday but offers Friday night or Sunday afternoon, then, she is probably busy.  But, if she just says that she is busy on Saturday with no indication of interest or alternate days, then chances are good that she doesn’t want to go out with you.

But, to be on the safe side, you might want to ask her out several times.  And then if you get the same “no” with no offer of interest, move on.  She is just not interested in you.