Your minions, if you are lucky enough to have any, are those people who are devoted to you and entirely dependent on you. If you borrow money from a bully and don't pay it back, he might send one of his minions after you.
A minion is nothing more than a yes-man, a nameless faceless servant. It is a negative term implying that your only importance is from the person who orders you around. Corporate presidents may have minions to do their dirty work such as firing employees who have made a mistake. If a celebrity comes to town, minions will come ahead of time to make sure that everything is to the celebrity's liking.