The conversational maxim that the professor violates is the relation. It is because professor discusses topics that are not related to the topic that she is going to discuss, which is why she is violating the relation. She focus her attention of discussing events that is happening on her life rather than focusing on teaching the topic that she should be teaching such as the tangents.
The correct answer is disheveled.
The word disheveled means untidy, unruly, unkempt, scruffy, messy, etc. It is usually used with a reference to either hair or clothing. It comes from French, where chevel means hair, so descheveler means to uncover hair. Over time, when it was incorporated into English, it got the meaning it has even today.
