To find this aspect of American culture really fucking weird?
I am talking about the "daddy daughter" culture they have over there. Typically in the religous south. The idea that the father has autonomy of his daughter's body and her virginity, and that he decides who is appropriate for her to have sex with and at what age etc. I saw it when I was browsing an American forum, and there was a post where someone was asking if he was in the right. The post consisted of him saying his 15 year old daughter had recently got a boyfriend and asked to introduced him to her dad. The poster was horrified and went on about his "rules" and that she wasn't allowed to date anyone until she was 18 and that he was terrified of her losing her virginity. The whole thing was an uncomfortable read.
I myself have a 16 year old and while I expect her father to teach her that she deserves a man who respects her, treats her well etc and also set examples as to what that would look like, I'd be mortified if he went on about the things mentioned above. Another thing I've noticed in Americans is the "Look at me my daughter has a boyfriend and I've got a big rifle to intimidate him with if they have sex, even if it's consenual and they are both of age. Look how tough I am!". Again, I expect DD's dad (and I of course, but I'm discussing fathers) to protect her to a certain degree, if a boyfriend hits her etc. But it completely baffles me that a father would get so worked up over his teenage daughter's sex life. When our DD started with relationships etc, DH gave her advice but firmly didn't want to know about her sex life. She came to me to organise the pill and it was never a big deal.
It ties into the weird "daddy daughter dates" I've seen.
If you're wanting to spend one on one special time with your young DD why not just take her to the park? Or out for a treat? A picnic, or to a museum she likes etc. That would be lovely. Why in the bloody fuck does there have to be a romantic aspect do it? My husband took DD out often when she was little to the countryside to see the horses, often just the 2 of them for hours and they'd take picnics. I'd stay at home as we had another young baby. They also went to the cinema together lots. Neither of us would EVER think of calling it a "date". It was a dad spending time with his child.