I think you're overthinking this too.
When I named Miranda I was hoping no one would call her any of the NN's for it. Randy mostly, but any of them. lol
I decided I would call her by her full name, and that would be it. And I have.. she's never been a nickname. I wouldn't change her name just because you dislike 1 little NN for the full name. Your child will grow up and most likely choose whatever name she wants anyway to be called by. for the meantime, if you don't like the NN's or just that one, then make sure people know it. Not a big deal... but honestly, I think it will probably grow on you. She's a month old, everything is still fresh and new, and you just haven't been with the name long enough yet. Give it some time... I mean if you were somehow tricked into naming her this and you just HATED the name with a passion, I'd tell you to go though all the crap to change it, but if it's just a nickname you don't care for, don't use it. :)
I regret not naming Jake, Henry. I really wanted to use that somewhere.. but didn't... but he really fits Jacob, so it's alright.