Cross control does feel wierd, but it works. The main thing is to point the nose down the runway with the rudder in the flare. As you do that, wing down into the wind. Just Do It.
You might drift a bit one way or the other if the wing down part isn't quite right. But if the nose is pointed down the runway when you touch down, you'll be fine. With experience, you'll learn to vary the wing down to correct for gust and drift.