I go into an empty battlefield and my enemy plays Ride the Wind to go to that battlefield. What happens? Do I conquer, or do I not score after I die to the enemy?

The Ruling

When you move to an empty battlefield and trigger a non-combat showdown, if your opponent subsequently uses Ride the Wind to move their unit to that same battlefield, you do not conquer and you do not score that battlefield. Instead, the battlefield becomes contested, the showdown transitions to a combat showdown, and the presence of both players' units prevents you from establishing the control required to conquer.

Sequence of Events

1. Initial Movement: You move a unit to an empty battlefield, triggering a Non-Combat Showdown (Rule 344). Because the battlefield was empty, it is currently "open" and you are the only player with units there.
2. Opponent's Action: Your opponent plays Ride the Wind to move their unit to your battlefield.
3. Showdown State: Per Rule 459.2 and the 2026-03-30 Patch Notes, if a combat is staged at a battlefield with an ongoing non-combat showdown, a cleanup causes the current showdown to become a combat showdown.
4. Combat Resolution: Once the showdown concludes, the game evaluates the battlefield status. Because units from both players are present, control cannot be established by either player (Rule 345.2.b).
5. Result:
   • Since you cannot establish control, you cannot fulfill the requirements for Conquering (Rule 464.1).
   • To score a conquer point, you must establish control of a battlefield. Because the battlefield remains contested due to the presence of your opponent's unit, the condition for conquering is not met.

Clarification on Showdown Type

A non-combat showdown transitions into a combat showdown once the combat is staged. If both players have units present when the current showdown ends, the game recognizes the contested state and prevents you from securing the battlefield. You are entering a state of contested control where you fail to secure the objective.

Summary: By the time the showdown resolves, the presence of the opponent's unit prevents you from establishing control. You will not score a conquer point at that battlefield.

Note: I could not fully verify this ruling against the retrieved rules.