Does my daughter need to travel with her father every time when her DTV only has his name?

We applied for our daughter to be a dependent on our DVTs. As part of the application we provided screenshots of both the mother and father’s DTV.

On our daughter’s DTV it only has the father’s name. Does this means she MUST be with the father every time she enters the country?

My wife was hoping to maybe take her on a few trips with just the two of them, but we’re now worried this won’t be an option as she’ll need me (father) to be present every time she’s entering.

Thanks!