I don't use the term "kick off the drift" - I prefer "straighten the aircraft (with runway) with appropriate rudder.
Of course as we all know from Effect of Controls the further effect of rudder is roll so as you apply rudder you are simultaneously applying into wind aileron to keep the wings level.
Hint - if you're going to make any mistakes err on the side of too much into wind aileron.
An on limits crosswind landing is an advanced flying manoeuvre and takes practice to do confidently and proficiently.