Bf wants an A name...

He wants an A name for our baby boy cause his son from a previous relationship is named aiden. Our son will already have his first and last name in his name. I don't feel like I should have to compromise My name choices for an A name. I really like the name Bryson. It's the only male name I like. Our baby is not his first son and I am not the first sons mother. I feel we should be different. Am I being rediculous?