Agree about changing the counsellor and approach, and having a look at Martin Selogmann, there is also an online set of tests which help you determine your signature strengths based on the book. If you start focusing your life on what works for you, then you will feel happier day to day, which is important. If you google Authentic Happiness questionnaires, you will find it.
I understand where you are coming from in your OP, I have come to the conclusion that, for whatever reason, my parents, particularly my mum, wants me to be single. She has literally sabotaged every relationship I have had; whilst throwing support, money, time at me when I am single. The only solution would be to move far, far away.
Like you, I have then had abusive relationships, and I now have DC, so am unlikely to bring any man into their life. So, I really am destined to be single.
But there is a big, wide world out there. My advice would be to seek to address the anxiety and find what works for you, what you enjoy. Find friends who do the things you enjoy, who are not all in couples. My dsis, who moved far away, met her DH when she joined a club to do something she enjoyed, for herself.
The point is that you need to be happy in your own skin, and do things because you love them, take the focus off being in a relationship, and concentrate on you. That way you are also more likely to avoid the red flaggers, who prey on vulnerability.
By the way, I don't really think I am destined to be single. There is a kind and gentle man somewhere I will meet in about ten years time. It would just be too complicated to meet him now.
Good luck.