She's made an excuse which sounds dubious to me. I ended up agreeing to meet her on a different day instead (a day which she had suggested), what should I have done? Turned her down and choosen a new date? Just moved on from her if she's going to be like that? Ignore her until she learns not to do that?
I would go along but if she tries to say she's busy again its okay I say to start nosing in. Like is it a family issue or work issue and if its nether then its a WTF moment. Thats the point where you ask her does she actually want to date you. And if you dont get a response tell her you want to meet up IN person and talk this out. To avoid any awkward or miscommunication.