Wife is upset about baby name

My pregnant wife(29F) is upset that my pregnant cousin (32F) named her upcoming baby the same name that we picked out for our son. For context my wife is further along than my cousin. We found out that my cousin had chosen the same name as us when my wife was sharing with my cousin how the pregnancy was going. Now there is this akwardness where my cousin feels that we stole the name from her and she already started sharing the name for her upcoming baby with all the family before we even did. My wife is really upset now and feels that we should rename our upcoming son. Are we TA if we stick with the name that we intend to name our son and do the baby shower with his name?

Update: Thank you everyone for your input. We are sticking with the name no matter what anyone says.