I used to have really bad social anxiety. I even had selective mutism meaning I couldn't talk at all in many situations no matter how hard I tried. I wanted it to get better so bad that I was putting immense pressure on myself, thus making myself even more anxious and disappointing myself when I failed to do what I wanted. At some point, I gave up completely, decided I would no longer try and accepted that was how it was. Because of that, the immense pressure I put on myself went away. I became able to talk to people when I absolutely had to because the anxiety wasn't as intense as it used to be, so gradually I started talking to people in situations I didn't absolutely have to, without expecting much so I felt a lot more comfortable and at some point it even became enjoyable.
So yeah, I stopped trying and it fixed my social anxiety problem as funny as that sounds. Being concerned about a problem that makes your life miserable is understandable and natural, but in excess, it's counterproductive and can make the problem way worse. Of course it's impossible to force youself to stop trying if the desire is there so that's not what you should do, that's just how it happened for me. The important thing to understand is that by having unrealistic expectations and worrying too much how you "perform", and asking yourself questions like "Am I making progress", you set yourself up for failure.
So changing the way you think can help somewhat to gradually improve your situation. At least that's how I see it. I know social anxiety is a problem that is far from simple to solve.