I don’t buy into the idea that people who stutter can’t be leaders, not for a second.
You can. If you want to.
A leader, through a mixture of doing and saying inspires other people to want to act differently.
You’re already a leader. You’re a leader of yourself.
You have the ability to both do and say in order to act differently, change, and improve your life.
Master this first and then you can think about creating change, which will involve leading others.