In the sense of a wreck, it will most likely disappear. If needed to complete it, there’s a ticket category specific to this sort of issue.
Game Play Support -> Game Play -> Agent missions in Progress. Explain to them what happened and they will likely reset the mission for you, you’ll have to run it again probably but won’t have to take a standing hit or have other issues that way.
(This was formerly known as Mission Site Disappeared After Downtime, if I remember correctly, originally aimed more at normal downtime messing objectives up on people. It would also work in a case like this and appears to have been renamed accordingly).