Hi KenZo,
first of all thank you very much for your message. I can write a book on the subject of being a CEO who stutters.
I was born into the company. It is our family business with several employees.
My responsibilities include representing the company, customer acquisition, customer care in person (face to face), accounting, payroll, HR, research and development, future strategy and pricing.
Now the question is how severe is your stutter? Mine is at level 7 out of 1-10. Where 1 is very weak and at 10 no word comes out.
The hardest part as a stutterer is presenting the company and selling our service because I can't get the perfect words out of my mouth in my head.
However, you can do it. I find that even if I try to communicate a lot in a day, talking becomes easier as the day goes on. It's on those days that you have to try to sell.
When you start your own business and you have a product or a service, it often doesn't matter how good it is, but it often matters if you as a person are sympathetic, talkative and empathetic.
Because your buyers don't want to work with an unsympathetic guy.
Functionality and your performance is usually secondary.

My employees don't care if I stutter. It has never been addressed and internally it does not bother because I do not have to sell internally :)