I like this lady but she only dates wealthy guys, should I still date her?

She comes from a wealthy family and so do I, she seems only interested in guys who come from wealthy families like her. I've known her for a while and she doesn't pay any mind to guys who aren't wealthy, she only dates guys with lots of money. She agreed to go out with me and I do really like her.

I like this lady but she only dates wealthy guys, should I still date her?
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