I know exactly how you feel boona.
When I meet someone new that I get on with, I tend to forget other people, and concentrate on my new friend, and enjoy my conversation.
This is not done in any way intentionally, and with the benefit of hindsight, I can see that it may appear rude, however unintentional.
So I see how it happened, and I see how your family feel, but they know and love you, so I am sure it will all blow over because they know you didn't mean to cause any upset.
I'd just make your apologies, and move on, and I am sure they will move on with you.