You're told that success as an individual depends on your performance in multiple aspects of life combined, but in actuality a lot depends on your ability to form relationships and in your dealings with others.
If you're someone already struggling with human relationships, it just adds to your misery.
You question if you should be there for someone after they've told you they don't need you around or is it better to just leave them alone?
The answer is not simple when you're mindful that those words could be a result of the tiredness of being and a sense of hopelessness that is prevalent. The nature of interactions is such that it could make them wary of putting themselves out there. The fear is valid.
You recognise how they feel and that you can't fix anything for them. But you can't overlook it either. So you try to be there to witness all what they feel. Perhaps, being present this way doesn't mean much to them or could seem selfish; nonetheless you want to give them the support you wish someone had the sense to give to you. So you try to be near a window after they've shut the door. Even if they're not likely to peep out, you don't want to be miles away when they need a fallback. Consequently, you never really go away.
They could be inside, thinking you've left. Yet if they ever look out one day, they might be grateful you stayed. If they never do, it could be a lesson necessary to ease your struggle and make you a little less miserable in your own life. And maybe that's what you were hoping for.