Sounds to me like you are thinking too much.
Last time a girl tried to flake on me I sent her a text, no repsonse. After an hour I phoned her up, she answered and I told her it was unaceptable not to reply to my text. Next, boom we had sorted out the date. Texting is so much harder to get anything sorted. Phoning is more nerve racking but gets the job done
If she had not have answered i would have freezed her out for a few weeks then tried again.
A couple of mistakes you made. Firstly sent too many text which seems desperate. You asked her a question which is never a very good idea, try to make statements instead. Also you apologiesed to her for a situation she created. Never apologies unless YOU have done something wrong.
So take KristallNachte advice and freeze her out.