If I find out someone had a relative who passed, and I don't know why, and I think it could have been self-inflicted, I hate to ask unless I'm very close to them because I don't know how they feel about it.
People may just not know how to talk to you about it.
I talk about my son's mental illness all the time. If it makes people uncomfortable, that's their problem. If he died, regardless of the way he died, I'd talk about that too if I felt like it.
You find out soon enough who can handle the subject and who can't, but I refuse to be any more embarrassed of his condition that I would if he had cancer and diabetes.
And, once I start talking, 9 times out of 10, people are very understanding, and most have had their own struggles with their own MI or with that of a friend or a family member. As far the one or two who get really uncomfortable about it, they can just be uncomfortable because mental illness is a fact of life they might as well get used to.
Here are some examples:
One of our doctor's assistants - her mother was bipolar.
My hairdresser - her mother is bipolar.
A former boss - she has a brother with SZ.
My co-worker - his father had bipolar and his daughter has been in & out of the hospital all hear for various MH issues.
The guy who came to unlock my car after I left my keys inside - bipolar
My other co-worker - her brother had something she won't discuss, but he did what your daughter did
We've also known people who've lost children - most have been to physical illnesses or accidents. No matter how it happens it's tragic.
I could go on & on. So talk here, we understand, but don't let anyone IRL prevent you from grieving however you need to grieve.