Since this is a few months ago, bringing it up now would probably result in nothing more than thoughtful discussion.

Had you brought it up at the time you were thinking about this "accidental" (it would have been deliberate) overdose, your therapist would probably have taken it quite seriously.

The potential harm, since this would have not been just any overdose but an overdose on something already known to be harmful to you, would have been very worrisome to most therapists. Mine would have asked, minimally, to speak to my husband to let him know of the potential danger. If having my husband take control of the meds or dangerous item in the house would be enough to keep me safe, that would be his first step.

Impulsivity is a really scary factor that my pdoc and therapist deal with concerning me, so honestly, they would probably rather I be in the hospital for safety and stabilization. As my T and pdoc both remind me from time to time, they've seen me one hour telling them I am fine and won't hurt myself, then discover a few hours later that I had impulsively taken something and needed to be hospitalized, so they err on the side of caution with me.

Good therapists and pdocs know their clients and make those decisions individually based on their experience with them.