I believe worrying sometimes is very important. It makes you realize how important something is to you. At the same time, it is equally important to get to the shore cuz you can't simply drown can you? I agree with almost every part of your post.
I met a friend Yesterday and it was her birthday. She was worried and anxious as she isn't having the best time with her family these days. She badly wants to move out. Unfortunately she can't at the moment provided the circumstances i.e. her being jobless and etc. I suggested her to stop worrying about that and start working on the pending tasks she had. She is yet to get her documents attested (which are required to submit for any scholarships she wants to avail to go abroad), get done with her thesis which is due later this month and another personal matter which I believe matter more to her than worrying about the trouble she was having with her family.
It went fine and the last drink we both had was a pleasant one :)