Even if there is a heter for a girl to learn gemera in private, wouldn’t a date be considered public?
And back to the great point brought up by intelligent in post #3, I think the girl’s parents being too midayaik in how the boy learns is MUCH more of a problem. Shouldn’t you care about the MIDDOS of the boy that your daughter may spend the rest of her life with ?!
As the too-true line goes, are you looking for a husband for your daughter, or a chavrusa?!