Responsibility
The Oxford Dictionary defines responsibility as "the duty or authority of having control over something or someone." If you're responsible for something, you're held accountable for how it turns out.
What things, situations or people do you see yourself as responsible for? As adults, for example, we're responsible for paying our bills. Most people in a shared culture agree on the basics. The trouble starts when we feel responsible for things we have no control over.
When someone near us is upset, for instance, we often want to fix it, as though we caused it and it's our job to repair. Really, seeing them upset makes us uncomfortable, that discomfort can stir up anxiety, and anxiety pushes us to act. So we start asking questions and comforting them as best we can. It helps to recognize that we are uncomfortable with their emotion, but we are not responsible for it.
American culture tends to be uncomfortable with feeling or witnessing emotion. Have you noticed how often people apologize when they cry? Picture someone you know crying. What do you notice yourself feeling? We often comfort others out of our own discomfort, hoping the emotion will stop.
To grow and learn, it's important to feel our emotions, yet many of us try to avoid them. We also tend to take responsibility for what we and others feel. The truth is that emotions are neither good nor bad. They are information. Would you make a major life decision without gathering all the information you could? Emotions tell us how something is affecting us in the moment. They don't make us weak. They help us grow. When we avoid how something affects us, we give it some control over us.
Your responsibility is in deciding what to do with an emotion. You can avoid it, fight it, or sit with it and feel it, which lets you process it if you choose.
We are not responsible for our emotions. We are responsible for what we choose to do with them. In the same way, we aren't responsible for another person's emotions, or for what they choose to do with them.
Try being clear with yourself about where your responsibility lies, and where it doesn't.