I think this is a difficult one. I agree with everyone else that you shouldn't take one or two negative opinions into account. On the other hand, if 20 people told me my chosen name was a dog's name or sounded stupid or whatever, if probably think about changing it. Not because I care what people think but because it would make me worry that people would be just as rude to my child when they're here. In a way, reactions to names are like an early warning system of ways in which baby might be bullied.
Not that this applies to OP's case of course. Arianna is very pretty and a perfectly acceptable name. But for some of the more out there names, I think it's good to hear people's associations before baby is here. People shouldn't judge anyone based on their name or bully them for it but the fact is they do. So finding this out before LO gets here would probably make me rethink if it came from a lot of different people.
My MIL hates our little girl's first name. When DH told her the name we chose, she gave us this look of pure disgust. Then to make it worse, she spent the next 2 hours thinking of different names to name her. Me being pissed was an understatement. Then she finished with, "Well, its ok. I'll just call her 'Hunnie' instead of Grace." Then, she called DH while we were out to dinner that same night to suggest even more names. 
DH was a good sport about it though. He knows his mom is bat-shit crazy and just wants to say that she named the baby, but still. I'm still pretty livid about it!
