baby girl more attached to daddy than mommy?

My fiancée and I will be expecting our rainbow baby girl in August and we cannot be anymore excited! However I'm kind of worried about the thought that she will be more attached to daddy and won't want anyone else but daddy. Thanks to my mom for putting this thought into my head but she said and I quote, "no matter how much time you will spend with your baby girl, she will always love daddy more." ☹️😭💔 like how is that supposed to make me feel? I'll admit I was such a daddy's girl but I didn't love my mother any less. Any mommies out there who have baby girl and would like to share their experience?