Why not just ask her to pay every other time, or go in halves? If you ask somebody that and they throw a fit over it, they're not somebody you want to date anyway. If they won't date you at all because you asked, you dodged a bullet because they're not somebody you want to date. Money will come up eventually if a relationship continues, and no matter what anybody says money is a serious issue. Finances have been known to break up marriages. "Do you want to go out again next week? Great. Please don't think I'm being cheap or anything, but would it be okay if we split the cost? I'm trying to set aside money for a down payment on my own house/a new car/insert symbol of financial responsibility here." If they actually like you and care about your feelings, they will be more than happy to shell out some of their own money to spend the time with you.
How DARE you question the social construct that requires men to always pay for the date! What are you...some sort of woman hater?
Also, don't forget to treat her an an equal and be sure to never imply that a man might be better at something than a woman, you misogynist patriarchical oppressor.
Also, don't forget to treat her an an equal and be sure to never imply that a man might be better at something than a woman, you misogynist patriarchical oppressor.