Other forms: uncontestedly
Something that's uncontested is either accepted as being true or valid, or it has no challenger, like an uncontested election in which only one candidate is running for dog catcher.
In the United States, it's been a long time since we've had an uncontested presidential election, which happened when George Washington ran in 1789 and 1792 and no one chose to oppose him. When a fact is uncontested, it means everyone agrees it's true, and an uncontested idea raises no objections: "Since my suggestion to hold a Comic Con at school is uncontested by the Student Council, let's send it on to the administration."