Was I accidentally rude asking a girl her background?

A girl came up to me in the gym and we just started talking. I had to be home soon because I had company coming over so I just said well I have to get out of here so my name is Anthony , what is your name? She said Geed. I never heard of that name as I am Italian.

So here’s the part in which I’m not sure if I was accidentally rude.. I responded “oh what is your culture “ and she answered Arabic. I said oh nice that’s a beautiful name and it was nice meeting you. She continued to be super nice and smiled as I went my separate way.

thinking about it now, I’m worried I was accidentally rude asking that. The name caught me off guard and I was genuinely curious.. but I need to know the truth.. did I mess up?

Was I accidentally rude asking a girl her background?
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