If your bike has a quick release, you cannot tighten it properly by turning the skewer. If you have a through axle. it should self centre. Learn how to properly operate a quick release if that is what you have. Hint: don't stand in front of the bike. Stand over the bike and lean over with the bars in your chest. You can keep plenty of weight on the bars to keep the wheel seated in the dropouts. And, yes, bike right side up, not upside down