What do you think about me taking a large chunk of her budget?
That doesn't sound fair. Didn't she say she loves you?
None of that matters; there is no love without fairness.
It's very unfair of you too take a large chunk out of her budget, as she may be expecting to spend some money with some essential and necessary expenses. I would rather suggest that you balance her funds and yours fairly, and probably just get a separate bank account if you don't think that you can be fair with her budget.
The age of chivalry is gone. If they choose to be independent, they can make their own choices.
You may be right about no longer needing to be chivalrous, but stealing money from a woman and using the excuse of equal rights is not going to convince most people. You shouldn't take away money that doesn't belong to you, regardless of their sex.