Is this some kind of sign? And does it mean something?

If you are saying that you are the one in the family that everyone else runs to , to unburden themselves to that one person, then beware.

"studies consistently show that psychiatrists have a higher rate of suicide compared to the general population and some other medical specialties"

Depending on others to be mature and responsible is always a tricky situation. The book of 1 John calls us "little children" multiple times to drive the point that we are not all fully mature and we are learning and growing. When it comes to family, we often want to view them as people who should be able to handle some amount of honesty from us about our feelings concerning a situation and things we feel we need. I've learned this is a dangerous thing to do, to expect people who react improperly to our honesty to suddenly be more mature.

It seems you are having trouble with not having anyone to care for you, or anyone to share and unload your feelings who can understand you and your concerns about things. Moses had some similar feelings in this being the leader that God selected and everyone was complaining to him about many things, and he had to take it to God to get help because he himself was overwhelmed. Anytime someone is responsible they tend to be the one who carries other people's burdens and yet there isn't anyone for them to reach out to and help carry theirs.

1 Peter 5:7 tells us to cast all our worries and concerns onto God, to open our heart to Him and to tell Him all the things that are bothering us because He cares for us. Even if we have a person down here on Earth to share our feelings with, ultimately God is the one who understands us the best, and the one who has the power to help us. If we don't have a friend here on Earth mature enough to share family issues with, that could be something we could pray about and pray for. I've learned to really let go of prayer being a proper speech we have carefully crafted and rather to simply really just tell God everything like we would a best friend, since He is the best friend anyone could ever have.

If it is a sign it could be that God wants you to pour your heart out to Him, or that He wants you to try to help address the family issue. But I would spend plenty of time talking to Him first to be sure before confronting things head on, since it could be a bad idea if it is not His idea.

Also, it does seem to be a sign you are taking a lot of the family matters to heart, and holding them there inside your heart. Sometimes we have to detach and let go of things and push them out of our heart if they are toxic or bad for us. Of course, we may feel like we need to keep things there even if they hurt, but it doesn't really solve family issues and is extremely bad for the person carrying concerns about things that they can't change right now. The best we can do often is pray, and let it go and put it all in God's hands. This is how we take care of our own heart, and make sure that it isn't being destroyed by things going on between other people by giving everything over to God.

Sometimes signs do mean we need to be less involved with certain people, especially if being connected to them more closely is harming us or our heart. Most definitely we should distance ourselves from anything that interferes with God's purpose for our life if we are sure of our purpose and He has shown us what it is we should be doing.

At the very least I think it is a sign not to lean on those people that end up hurting you when you share your feelings. The situation may be more complicated than this, but I'm positive God will guide you into what to do with prayer and He promises to answer us if we keep knocking on the door and keep seeking His help (Matthew 7:7-8).