If you're struggling with crosswinds, ask your instructor to control one axis (roll, for instance,) while you control pitch and yaw. When you've got the rudder down, switch to ailerons and pitch. When you've got that down, then try again, I'll bet you've made significant improvements.
All above is correct but I used to dumb it down even further. Think of the rudder as the laser that points down the runway and the ailerons that keep you over the centerline.
Good luck!