Is it considered apostasy if a person dislikes religious discourse—even if it includes Quranic verses—and how does one repent if that is the case?

If you find in your heart a dislike and rejection of those who speak about the religion of Allah without knowledge, this does not lead to disbelief (kufr) nor is there any sin in it. It is important to note the prohibition of speaking about religious matters without knowledge, based on the Almighty’s saying: "And do not pursue that of which you have no knowledge. Indeed, the hearing, the sight, and the heart - all of those will be questioned." (Surah (definition) Al-Isra, 17:36), and His saying: "And do not say about what your tongues falsely describe, 'This is lawful and this is unlawful,' to invent a lie against Allah. Indeed, those who invent a lie against Allah will not succeed." (Surah An-Nahl, 16:116). It is advised to turn away from whispers of disbelief and mockery of religion.