If I move a unit to an empty battlefield but my opponent immediately uses Gust to send it back, do I still conquer the battlefield and score a point?

Ruling: You do not conquer the battlefield or score a point. You need to have units at the battlefield at the end of the showdown in order to conquer it and score a point.

Sequence:

• Move your unit to the battlefield
• Opponent uses Gust (or similar spell) to remove your unit
• At end of showdown, you have no units at the battlefield
• You do not conquer the battlefield

Nuances:

• Even if there are no enemy units on the battlefield, the opponent can still use spells to prevent you from conquering
• You can still conquer if you manage to get another unit to the battlefield before the end of the showdown