Do you think your mother is getting anxious when you bring up conversations you've had with your therapist because she starts to worry that you're talking about her? I might stop mentioning my therapist to my mother, not sure that's a good approach, but avoidance seems to be my go-to - I barely speak to either of my parents, so probably best not to take my lead

It shouldn't be your job to convince your mother she's a good person. What would happen if you stopped doing that kind of caretaking for her?