As per Cambridge dictionary
A supervisor is "a person who is in charge of a group of people or an area of work and who makes sure that the work is done correctly and according to the rules."
An adviser is "someone whose job is to give advice about something, for example, to a company or government."
But there is no rule that says an adviser (or advisor) cannot enforce a rule. Sometimes, "adviser" forms a part of the title of a position that holds supreme power and authority.
Such a person will have a strong command over his staff. In your case, it cannot be said with certainty, because what the organization calls this person (adviser/supervisor) depends completely on their rules and regulations.
Edit: There are many positions in a newsroom. I will use this as an example, every "media channel" may have their own setting or style of operation. Who Works in a Television Newsroom? provides detailed descriptions of all the people involved in important aspects of the operation. To know more, take a look at How the newsroom works.
Producer - Producers oversee newscasts. The executive producer coordinates every aspect including hiring, firing, and managing personnel and also tending to business and financial matters. At larger stations, associate producers assist executive producers, and together they supervise a staff of news producers. A producer writes scripts, edits video, and collaborates with reporters who are out in the field. He or she also works closely with the newscast's anchor.
Director - News directors plan news broadcasts. They choose and schedule content, making them the people most responsible for what viewers see on the air.
The news director is in charge of quality control. He or she monitors stories for accuracy and sees that rules and regulations are followed.
Source: Who Works in a Television Newsroom?