Inconvenient things are difficult or annoying to do. If someone asks you to help move a couch on a Saturday when you have tickets to a game, that's an inconvenient request.
If you have to go to the bathroom very badly just as a test is starting, that's inconvenient. If the movie projector breaks in the middle of a movie, that's inconvenient. Other times, things are inconvenient just because they're kind of a pain. It’s inconvenient of your mom to ask you to do chores just as you're ready to go out with friends. Inconvenient things get in the way of what we really want to do.