Must I be convinced of the hijab after learning of its obligation in the Quran, even though my conscience torments me for not being convinced of it?

A person cannot be a complete believer unless they judge by the law of Allah, submit to it, and are convinced by His commands. Allah, the Almighty, says: "But no, by your Lord, they can have no faith, until they make you (O Muhammad) judge in all disputes between them, and find in themselves no resistance against your decisions, and accept them with full submission." And He says: "And let those who oppose the Messenger's (Muhammad’s) commandment (among the Khawarij, the hypocrites, and disobedient ones) beware, lest some trial befall them or a painful torment be inflicted on them." The Prophet, peace and blessings be upon him, said: "Whoever turns away from my Sunnah is not from me," and "All of my Ummah will enter Paradise except those who refuse." It was said: "And who would refuse, O Messenger of Allah?!" He said: "Whoever obeys me will enter Paradise, and whoever disobeys me has refused." The advice is sincere repentance to Allah and conviction in the hijab, knowing that all of Allah's commands must be obeyed, whether their benefit is clear or not, for all of them are for the benefit of His servants.