Learn English – Negative-connotation word for someone who is straight-edge

For someone with money, "wealthy" is the obvious answer (and connotes various kinds of abundance).

For someone with social resources, "influential" or "well-connected." If you want to suggest that they don't often use these resources, but that people would do things for them if they asked, you might need a more specific term describing the nature of their standing, such as "respected," "popular," or "well-loved." If it's just because they're powerful, then maybe "powerful" or "important."

For someone with intellectual resources, a person who knows a lot of things might be "knowledgeable" or "widely-read," or they might be "a polymath," a "jack-of-all-trades," or a "renaissance man/woman." Or they could be "clever." "Clever" is sometimes used as a subtle insult (or as conspicuously faint praise) to refer to someone who has intelligence or problem-solving skills but uses them for trivial things.

Player only has negative connotations in the context of romantic human relationships. If the context of your piece establishes that a game or sport is being discussed, player would not ordinarily carry a negative connotation.