Using the trigger icon for talk of suicide/suicidal thought...

I found out a long time ago from my roommate that my T's father killed himself. My roommate used to go to school with my T, and knew about it that way. My T doesn't know, that I know about the suicide.

Now, anytime I think about suicide, I feel like I can't talk about it. I know she's dealt with the loss of her father so I don't know why I keep trying to "protect" her. I guess I also fear she'll be mad at me? Because I talked about suicide but never truly have the intention on acting (which, I tell her that).

Do I just come out and tell her I know about her father's suicide? I think she'll be shocked...
Do I just present my suicidal thoughts and also include my fear of her being mad at me without mentioning her dad?
This has been a problem for a while with me, I'm just not sure what to do. It just makes me uneasy anyway I look at it.