I arrived in therapy in a very bad state. After some months I mentioned to her my self harm and sucidal thoughts. Recently I said to ther "I don't feel recovered from self harm, and even from suicidal thoughts, even tho I don't have them now, I may be have them in the future, I can't predict". She never told me about IP or sent me to clinics. Well, in my case I think it's because she's doing private practice with my uni, maybe in a private practice they send less people to IP (contrary to the public)? My T trustes me (I think), she didn't freak out when I talked about them, she seemed a bit nervous but I told her "I don't want to act on them, I want to have a future!".
If you have those thoughts but think you can do it and face them, tell this to your T. Ask her if she's obligated to report you, if you mentions these thoughts, some therapist will have to report you for the laws. From what you wrote, you don't want to act on them. Sometimes suicidal thoughts seem a way to from escape reality, for me it was a relief to daydream about them, but I didn't want to act...only to think about them.