just be like the other isekai ladies and point out the flaws of marrying into royalty, being of good birth yourself, you avoid the having upper class ladies constantly make your life miserable for getting above your station thing, but there's still stuff like the fact that most of said other upper class ladies will want you dead so they can take your place, or how the prince will have other ladies he ****s to ensure he has a proper heir, and how you would certainly get caught up in and succession issues arising if he has siblings or when your child(ren) and the other ladies' child(ren) all grow up
if daddy's that protective of you, he'll...well, he probably wont openly defy royalty, but at least he'll probably be a lot less supportive of any attempts at romance they send your way, especially if you yourself don't express interest towards them
also,
@Sep10trion historically, nobles' hunts were vastly different from what you might think of by hunting today, typically it was a gathering of well to do men who would go out riding around a well kept forest area with servants and they would pose and chat and maybe actually do a tiny bit of hunting of creatures usually pre-captured and released by more servants, with capable men at arms to protect them from potential bandits or hunting accidents should the prey actually get too close or too angry (in most societies while the men were out "hunting", the women would stay home and do the era's "proper womanly things" like sewing and tending to the home/garden/managing even MORE servants to do things at home and/or in the garden, flower arranging, tea ceremonies, etc.)
it's not like in modern times where folks go out hunting and it's either actually hunting, or the stereotypical gathering of good ol' boys getting drunk and shooting up the broad side of a barn until they're too drunk to even hit that anymore