Hi Timur,
I appreciate your question. I believe it's a question that all human beings struggle with...including myself.
In my own experience, when I care about what people think, sometimes it's because I need freedom, reassurance, support, appreciation or validation about what I am doing. Sometimes it's because I really care about others and their wellbeing and I want to make sure that my actions show care and consideration for them. Most of the times, it's both: I want to be free to be me, and I want to be supported and appreciated for my efforts AND I want to care and have consideration for others, especially the ones I love the most. I certainly don't want to be free while loosing the love, belonging and connection with the people I care the most about.
I think this is the most delicate and yet important balance that we as human beings make all the time. We are permanently trying to find this balance and you are definitely not alone in the struggle.
So, if you are struggling to live freely and authentically, while caring for the needs of others, my recommendation is 1) to look inside yourself and identify what needs you are trying to meet (care?love? understanding? freedom?support? consideration?), 2) embrace the feelings that may arise (sadness? grief? anger? frustration? or even relief?). 3) With this new self-awareness, find a strategy that is aligned with your values, so you can start living as freely as authentic as you want.
I hope this helps!
PS: If you want support in doing this process and finding the strategy that will work best for you, book a trial lesson and we can work it out together. I am a specialist in Compassionate Communication and my passion is to support people live wholehearted, authentic lives, connected to what matters to them the most :)