Is it rude to have a wedding ceremony, but not a reception?

My fiancé and I are thinking about just doing a ceremony and not having a reception. We don’t have the money to do a whole reception and honestly, with our baby (who will be 6 months at the time of our wedding) we don’t want to have to have a whole thing. We just want our closest loved ones to see us marry and then privately celebrate as a family.

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