This situation came up yesterday.
An Imperial player had a stress token, and was hit with an Ion cannon, therfore the following turn was a required 1 straight. The question was what happens to the stress token?
Two possible outcomes
1. If the Ionized ship's dial has a 1 straight (green) maneuver, then the stress will come off next turn.
2. If the Ionized ship's dial does not have a 1 straight (green) maneuver, then the stress will stay on for next turn.
Our situation was the latter, so the ship kept the stress token.
Any other opinions?