Welcome.

It is nice to meet you and hear your story. You have had a difficult time, that's for sure.
It is very good you are seeking treatment now. The treatment tree goes like this:
Therapist --> Psychologist --> Psychiatrist --> Psychopharmacologist. So you're already on phase two, really. I would stick to a psychologist but perhaps if you are unhappy with your current one to find one that specializes in things that effect you. For example, having been been molested you may want to see a psycholoist who specializes in victim recovery for sexual abuse. A Psychiatrist is the full medical doctor who can prescribe meds, and a psychopharmacologist is a psychiatrist who specializes in psychiatric medications.
I agree you need to be evaluated. Best to discover what is going on. Request this of your psychologist. You may need to see a psychiatrist as well.
Remember that suicide is a symptom of something and not an illness in itself. I always say it is lightning in a storm. Sometimes it may be that the lightning is distant, and sometimes it is all around you, but it is only flashes. However, if the lightning strikes, it is very dangerous. So, you must take measures and protect yourself, even if it seems like small rumblings. You can't let your guard down.
And know that you're not alone in fighting these things.