Will a therapist want to send to a hospital for having suicidal thoughts?

I want to be completely honest with my therapist but I’m afraid of what could happen if I was. I have a lot of serious medical conditions and I want drs to take me seriously about my physical problems. Example I was on an antidepressant one time for migraines. I then ended up in the hospital for an issue. they thought I was just making it it up or depressed because of the medication I was on. Turns out it was really just cancer but if they took me seriously they would have figured out so much sooner.