Does a father have dominative power over his adult unmarried daughter? I cannot find teachings before Vatican II that support that he does. One of the few priests who I know supports that he does have dominative power is Fr. Chad Ripperger.
Depending on what you mean, that could be a stupid question.
If we're talking about an obligation of obedience and the woman in question still lives at home, then absolutely.
The father can approve (or disapprove) of any of her behavior, and she has to comply, or else she's out of the house. One of the evils and disorders of the modern world is the fact that women can MORE EASILY get a job than men -- so a black sheep daughter likely won't care if she gets kicked out. In fact, in some situations, the adult daughter could even have an easier time staying employed than the father himself!
https://www.cathinfo.com/the-greater-depression-chapter-i/348-000-jobs-went-to-women-21-000-went-to-men/Modern women (which includes Trads, since they also live in the Modern World, and in modern times) are constantly tugged by the World to be independent. Taken far enough, this usually leads to disaster, because women need male guidance.