Little girl vs. Experienced Woman

My mind and heart have been at arms over the last 24 hours or so. I recently met with a guy who I now call Daddy and we had our first date. It was my first experience of any kind of D/s relationship intermingled with the beginnings of hopefully a boyfriend/girlfriend relationship.
The date involved both conversing as equals and being Daddy's little girl. I have to admit it's hard for me to draw up where the boundaries were for the date exactly…sometimes I felt like his little girl and other times I felt like he was a man I was very interested in for a boyfriend. These two separate dynamics during the date played different tunes in my heart, even afterward.
Daddy said he wouldn't leave me and the little girl inside of me believed him with every ounce of her strength but the logic of a grown woman hung heavy over that, knowing this was merely a first date and that sometimes grownups make promises to children, they can't keep. The woman in me was aghast at how attached the little girl in me had become already. While the little girl clinged lovingly to Daddy with eyes full of love, the woman inside remembered the heartache caused by many a man. She had gotten her hopes up so many times only to have her heart dashed upon the rocks over and over.
Along the same lines, hours after the date and even the next day, I found the little girl in me wanting so bad to text Daddy, to talk to him, to see him…but the woman in me knew that would come off as clingy and she didn't want to spoil things.
Its just so foreign to me to feel like there are separate sides of me like this and watching how they struggle with each other when trying to find not just a Daddy/Dom but a boyfriend too. The little girl in me feels so safe with Daddy…already….and yet the grown woman knows he could up and leave without a moment's notice…because it's only been a first date.
Maybe the two will better juxtapose when the vanilla part of the relationship can be established and therefore come in-line with where the D/s relationship already seems to be...ironically, lightyears ahead.