Im not being taken serious

Sorry if this isnt relevant here. So long story short, my therapist kept talking about something that upset me a few weeks ago, and I told her it wasnt really bothering me that much anymore, but the rest of the session it was kinda the only thing we talked about.

But what I did tell her was that I was thinking of giving up and ending things, and she asked me how I would do it, I said I had no clue, that I wanted to be certain it would actually kill me and not just put me in the hospital. She then said I definitely shouldnt overdose then, since that barely ever works, and then she proceeded to say that obviously she couldnt tell me what to do or not to do, and that she couldnt stop me. She knows Ive had periods of suicidal ideation my entire life, and Im thinking she doesnt think its that serious, bc then I surely would have tried already, right?

Ive been seeing her every other week, but after today she just told me to read some books to escape reality, and then asked if 4 weeks until next time would be okay.

Like I know I told her I could never go through with it, but I felt like she brushed it off like it was nothing, even tho I told her about different methods I was thinking of. Im just really upset, and I feel like Im overreacting, but its so hard to get through the days. Its so hard to fight the urges to end things.