A rejected participation is a reported participation: the Mission owner reviewed your submission and reported it.
You see the Rejected status in the Completed list, a notification about the report, and the review decision on the Mission page. The report records a reason and lowers your trust score by five points under the current server rule.
There is no in-app appeal flow today. If the campaign is still active and has room, the Mission can appear again in your discovery and you can claim it again, because a rejected participation does not block re-participation.
Members do not report Missions from the Mission page. Reporting is the owner's review decision on a submitted participation.