Americans, is that rude to you?

My American friend was posting depressive posts on Instagram last week. I texted him to ask if everything alright. He thanked me for asking and said he just felt stressed time to time. Then I did not reply to the message. But after that day he seems a little offended to me. Was it rude that I didn't reply to his message?

I'm wondering if this is considered rude in your culture, because I've experienced the same thing with another American friend in the past.

If I started a conversation, is it so rude to keep it short?

Americans, is that rude to you?
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