This is probably the extent Chopper's interaction with Queen is going to go this arc. He managed to :
- Provide the cure for his Ice Oni Plague and end his Live Stage floor game
- Make the Beast Pirates turn against him because Chopper saved them
- Get a hit in with Marco's help
The later will probably not do much beside making Chopper feel better, since Queen's actions were so infuriating, but that's good enough on top of everything else he achieved.
Will be interesting to see what Chopper get's to do next. Maybe Apoo calls in the remaining Numbers and he get's to wrestle with them.