How to get over the shame of talking about it?

How to get over the shame of talking about it? So I’m 34F and have dealt with stuttering my entire life. I’d probably be categorized as a convert stutterer, but I feel like I’m managing it and stressing over it every minute of the day that I’m interacting with someone or anticipating that I will. My stuttering can vary in severity and mostly comes out as blocking and straining to speak to avoid repetition, which of course comes with strain, stress, and constant panic. I could go on and on, but basically, I stutter or struggle to speak with my close family and my partner every time I speak with them, but it’s something that’s totally unspoken (no pun intended). My entire life, I’ve only been called out about it twice (once from my partner), and I said it’s something I’m not comfortable talking about and don’t want to talk about again. The other time was a close friend who jokingly teased me when I let a repetition slip through. I brought it up once with a therapist and felt like she brushed it off and said she hadn’t noticed, and I felt somewhat ignored. Well, now I have a new therapist who seems really supportive. I have my second session with her today, and I told myself that for my next therapist, I would talk about stuttering and the impact it’s had on my life to deal with the anxiety and other effects. Even if she’s not a speech therapist, I think it could help. How to get over the shame and embarrassment that I’ve associated with stuttering for so many years to be able to bring this up?