I have the same problem, as my inner critic won't let me talk and express myself. When we worked with that part, we didn't tell it to shut up but tried to figure out why is it there and what does it want? Turns out it's mostly there to protect us from getting hurt. And sometimes we would reason with it and weirdly it worked. I still struggle with it but I think with growing trust it has become a lot safer even for that part so it knows it doesn't always need to protect me from my T. It's still always alert though and won't completely let the guard down and also says my thought and feelings are irrelevant. It's work and it goes up and down but I think becoming aware that it is there and what is it saying is a first step.