Just to be clear, its the cousins name and not their childs name??
I don't see a problem with it if its the actual cousins name but if they named their child Jed and you also wanted to use Jed then I don't think its a great idea IYKWIM.
we called our dd3 the same name as my 1st cousin - we see her probably 3 or 4 times a year. I think her and my aunt are flattered that i loved the name too.
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