There's certainly no harm in dating - but take it with a grain of salt, because more often than not, the relationship isn't going to survive into your later 20s.
Or maybe she's not looking for financial security, but she thinks you're going to be a complete gentleman who will woo her with flowers and chocolates, whereas you're not the slightest bit romantic in the traditional sense. Supporting yourself can be a beg boot to maturity level because you have no choice. For example, if I park to far away from the building she'll complain about it and make it a huge deal for a good couple of hours. Only if they're single bro. For her, nobody over 21!