How do you resolve a Shaken Pilot Critical Hit when a ship who has that critical hit faceup is ionized? My concern is that you are assigned a white 1 maneuver, and the card states you cannot be assigned straight maneuvers.

Assigning a straight maneuver means you queued it up on the dial and then revealed said dial. Being ionized doesn't assign you a straight maneuver, you merely execute a straight maneuver.

Edit: Or I may be absolutely wrong, this is just the ruling we've always had locally on the matter.

36 minutes ago, Innese said:

Being ionized doesn't assign you a straight maneuver, you merely execute a straight maneuver.

This is correct, an ionized ship is not assigned a maneuver, you also do not reveal a maneuver when an ionized ship activates (Rules Reference, page 13, Ion Token), so the Shaken Pilot damage card will remain faceup.