No expert here, but you didn’t put in any aileron to counter the wind. I think the wiggling you experienced was the same thing that happens if on takeoff with the Arrow if you let it ride the nose wheel. Trimming up on takeoff helps with that, and I think the same should have helped here.
Your approach was a little fast but that might have been to assist with the wind. Keeping the yoke back after landing until you have bled off more speed would probably have helped with the wiggling, as well as increasing aileron input into the wind as you bleed speed, with opposite rudder.