Is the husband's action of deleting the Turkish TV series channel that his wife was watching, leaving her in bed, and not taking the initiative to apologize, considered correct, or is he sinful for that? And what is the optimal course of action in this situation?

Series often contain Sharia (definition) prohibitions such as music and alluring images. If a series is like that, then you have done well by preventing your wife from watching it, and she must obey you in what is good. You were right to delete this channel, for you are a guardian and responsible for your household, and you are commanded to protect them from the Fire, as Allah Almighty says: "O you who have believed, protect yourselves and your families from a Fire whose fuel is people and stones." Your wife's action of breaking the remote control is an act of disobedience (nushuz), and the remedy for nushuz is clearly stated in Sharia. Your action is correct and you will be rewarded for it. It is advised to be wise with your wife and teach her matters of her religion.