spoiled, pampered daughter who likes being taken care of without a sexual component in the relationship.

Not usually one who chases older men for any number of reasons, but that includes a sexual component, unlike the "Daddy's girl".

They typically have what's called "Daddy issues" or a "Daddy complex" if they are seeking security, coddling, validation, or minimal responsibility in the relationship. It is typically an uneven relationship, authority-wise.

Others are legit "gold diggers" if their primary goal is seeking access to a successful older man's money and/or power. I think she falls into this category because she has no problems being aggressive and what appears to be zero need for validation or being taken care of.