Apply rudder to align the fuselage with the centerline. In your case this would have been right rudder. The second part is: apply opposite aileron (crossed controls indeed) to keep the aircraft over the centerline. In this case you would have applied left aileron to avoid the aircraft drifting to the right, away from the centerline.
Yes, a bit of rudder will also induce a bit of roll, but you would not have noticed it that much as there is usually a small delay before it takes effect. Within that delay you would have seen the aircraft drift off centerline and that is where you need the aileron input.
If you want to practice this:
1. Find an instructor to go along on a day with a stiff (steady) crosswind.
2. Alternatively, find a moderate but steady crosswind and start applying the needed corrections when still 200 feet up (or 300 feet). Practice applying the inputs to keep the fuselage aligned and adjusting roll angle to stay above the extended centerline. Go around at 50 feet and repeat until comfortable. Have a plan B for when you're not comfortable (which is why option 1 may be the better one).