There's a kid who started doing daf yomi and feels that through the daf he gains skills, confidence, knowledge, consistency and most of all a sense of accomplishment. His rabbi tells him one day he should stop doing the daf since he is in yeshiva and should focus all of his time on what the Yeshiva is learning (daf takes him 2 hours). As much has the kid respects his rabbi, he deeply feels that doing the daf is the right course of action for himself.
Although this seems like a specific case, it really can be applied to many different aspects of life. (Rabbi - Talmid, Parent - Child, ...etc)
There's a gemara that deals with a case of a patient and a doctor. The patient believes he/she needs medicine where the doctor does not. The gemara says that we listen to the patient because the patient knows in his heart a feeling that the doctor would never be able to understand. The Gemara says the opposite is true as well (doctor says he needs medicine , he must take medicine) but that is not a chiddush. The point being, although the rabbi in the first case thinks daf yomi is not right for the student, should the student listen or, because he feels that it's important, trust himself?
Secondly, are there other sources that deal with this concept (knowledgeable vs. less knowledgeable) with conflicting thoughts, whom do we listen to?