Wow. I feel really bad for the dad in this instance. Not because of what the OP said or did, but because more than one person here is jumping on the "what a bad reaction," "really immature" bandwagon, and I don't think it necessarily WAS a bad reaction.
My husband is like this, you see. When he is arguing a point, fine, whatever. But when his feelings get hurt, he "shuts down." I don't view it as a emotionally immature thing to do - he just, suddenly, doesn't know what to say, and therefore says nothing. When my feelings get hurt by someone, I know it can take time for the sting of it to go away, even if they do apologise.
It's quite easy to say what the dad SHOULD have done, but truthfully, I don't think he or the OP did anything wrong. They were having a discussion, it went a little further than it should have, the father got his feelings hurt and stepped back from the conversation for a moment, the OP reacted emotionally, and then dad reassured his daughter that he in fact did NOT want her to leave.
Considering that this is an otherwise close relationship, I just don't think it's worth too much concern. And I don't think it's fair to jump on dad for it, either. It happened, now it's over.