I don't get so angry or worked up about things like that if the person apologizes. I mean, I've been rude or at least come across as rude unintentionally a few times. (Like I'm in a rush and mad at someone/something, etc., and I'm all caught up in it mentally.) When I realize what's happened or how I may have come across, I'm embarrassed and ashamed. I recall apologizing, but I can also recall not doing so and thinking "it wasn't that bad." Terrible, right? Well, I admit I've done that, but in my defense, I'll say that I try not to do that ever and err on the side of caution now.
That said, I've had to deal with rude people, people who feel entitled, and outright nasty people (I worked in Hollywood). What I do is try to think about why they may be behaving like that and it always comes back to them being in over their heads. While I'm sure it's possible for stuff like this being personal, if it's someone you don't know, the chances are very low. Once I realize that it's not personal, it's a lot easier to brush off. They're the ones having the bad day or life!
