How to tell my manager about a surgery without it going around the company?

Hopefully next week I will be having a very personal female surgery. I have a main manager and then about 5 supervisors under her that would have to know about it. It's pretty embarrassing and I'm worried that everyone in my company would find out about it, even if I told leadership not to say anything. So I am stressing quite a bit. What's a good way to word it to where I don't have to disclose exactly what the surgery is?