To get a sense of its opposite, you'd need to consider different aspects:
Based on gender: The opposite could be "lassie," which is the Scottish term for a girl or young woman.
Based on age: The opposite could be "auld man" or "auld wife," both meaning an old man or woman.
Based on respect: The opposite could be terms expressing disrespect or contempt, which would depend on the context.
It's important to remember that "laddie" is a specific term with cultural context. Finding a true opposite might require more information about the specific situation.