I have two children. One is school age, the other infant. School age child does not stutter. Some stuttering is genetic so you do have a chance of passing it on. If you do, your child already has a built in support system having a parent who stutters. Children do not learn to stuttering by hearing a parent. That not how language acquisition works. Don’t worry about that. My daughter just thinks that it is the way I talk. No big deal. She was excited when she was at school and met another student who stutters. She said, “Daddy, my new friend talks just like you!” As for doctor appointments, parent teacher meetings, etc. Stuttering be damned, my child comes first no matter what. I’ll stutter through making a doc appointment if she is sick, etc.