My child started to stutter

My child started to stutter I am stammering since I remember, my daughter that is now 4 years old started to stammer around 2 months ago, problem is severe. I am overall terrified, everyone here knows what stammering does with life. Have you ever experienced that kind of inheritance? I am wondering can it be caused by overall process of learning to speak? She hears me and subconscious try to mimic me, as it seems normal to her (?). We will meet with specialist soon, but I don't believe they will help, as I met dozens of them without any effect.