Which of these actions would be considered tactful?

Handling sensitive matters with care embodies the essence of being tactful. Tact involves the ability to communicate difficult messages in a thoughtful and considerate manner, ensuring that the feelings of others are taken into account. When someone approaches a sensitive subject with delicacy, it shows respect for the other person's emotions and an understanding of the situation's nuances. This skill can prevent misunderstandings and help maintain positive relationships, which is crucial in both personal and professional interactions.

In contrast, the other options fail to demonstrate tact. Publicly blaming someone can lead to embarrassment and resentment. While giving honest criticism can be important for growth, doing so without consideration for the feelings of the person receiving it may come off as harsh or insensitive. Ignoring a person's feelings entirely shows a lack of empathy and regard for their emotional state, which certainly does not align with tactfulness.