I've had suicidal thoughts since I was about 11 years old. Acted on them 3 times, (although they were "impulsive" and not planned.) I've had one plan, which required a special trigger to go into motion. They come and go, like waves in the ocean.
This is what I know from my own self. They are a symptom, not an illness. When you're having a lot of suicidal thoughts, that's a sign that the something is very off. It's like a cold. The runny nose isn't the sickness, it's a very annoying symptom that just keeps coming. Once the cold is better, then the runny nose stops.
So because your pdoc is saying "your suicidal thoughts are stress-related" what skills is she going to help you with/adjustments to give you to help that trigger? She says you need home skills, but you have to learn those skills. They don't just magically come to you. I got my skills from years and years of struggle on my own. It would have been so much better with help.