The scene was set up with Ichina saying that once Eve joins the golf club, she can go to the dorms and have food, and all that other stuff, claiming that Eve really had no place to go (which is kind of true). Eve counters her challenge by immediately going to seduce a few girls, proving that she can make a place for herself to go any time she wants. All the food and entertainment she wants in an evening. I suppose it was meant to imply that Eve didn't have a home or family to go back to in Japan...except that the writers and storyboarders seem to have forgotten that Eve is already Ichina's roommate, and they live in the dorms together (and we learned Eve always sleeps fully naked). The discussion and outing felt out of sequence, like it should have been in the previous episode, or maybe even before Eve enrolled in the school.
I think it is a reasonable expectation for Eve to believe everyone else in Japan is trash at golf. She beats European players routinely, she beats adult men routinely, she can defeat many pro Underground golfers, she can outshoot an adult pro she was impersonating. The only person she cares about is an all-around golf prodigy.This is the first time Eve's belligerent 'don't got time for anything but my objectives' came off as just... stupid. Eve, you're here to play golf with one person who makes you enjoy playing golf... it really didn't cross your mind that anyone else might also be fun to play against? Is it so hard to join a golf club and do the thing you like all the time when you spent your illicit fortune coming to Japan in the first place for a single match? How short sighted can she be? Good thing she had handlers until now, or she would have likely been sold off into golf-related prostitution given how poorly she handles basic interactions.
Aoi has the same problem. She has no one else good to play against in Japan, or worldwide.
Or so they both think.
The interesting thing about sports like golf, tennis, or boxing, is that there can always be someone a little better than you on any given day. They can be unbeatable on an otherwise unassuming day. Aoi plays "perfect" golf, but she was running out of enthusiasm before she met Eve. Eve destroys mentally weak opponents, but doesn't face a lot of mentally strong ones like Kaoruko.