How would you deal with a situation like this?

So I joined this group and had sent a social media request to one of them who actually had the audacity to decline.

Now normally I wouldn't care, but the reason it bothers me is because not only is it rude, it's also excluding someone.

I want to block this person but fear that if I do that, they will make me out to be the bad guy in the situation to others.

How would you deal with a situation like this?
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