Should a girl offer to pay on a first date?

Soooo I always offer to pay for my own on a date. I think it’s respectful. However, my mother (yes) is telling me that my date yesterday was the one that asked me out, therefore I shouldn’t have offered. I’ve always offered to pay! Is this wrong? Which one would you rather a girl do? Note: he did end up paying for mine anyway but I did at least offer
Should a girl offer to pay on a first date?
Post Opinion