I think it might be a good idea to process it anyway. you can preface it by telling her you would like to talk about something that disturbed you (or however it made you feel), but that you would like for her to be able to talk about it with you instead of react to the content. Generally T's will then do a risk assessment (your level of intent at the time of the incident, your level of intent in the current moment, any plan you may have, how likely you are to be able to go through with the plan, etc).
When I talk to my T about morbid thoguhts, she reminds me that we need to asses my level of risk, and that we will work together to figure things out if I'm high risk in the moment. We established a while ago that I have lots of morbid thoughts, there's lots of planning, plenty of access, but not always a level of intent that would concern her. I've also agreed to always contact *someone* first, and if I felt like I was slipping past that point, I would at least make it to the next appointment with her and we would go from there (I have this intense need for closure with everything, so I know I would at least hold out to talk to her one more time). This agreement really helps free me up to voice the intensity of my distress in any way that I can, especially around the ickier past abuse stuff.