I would proceed with caution doing EMDR if you're suicidal. I was doing really well, was looking towards the future, was in a good routine etc and so thought might be stable enough for EMDR. I've had to quit after 4 sessions as it massively reactivated my suicidality and now I'm back in the hole.
Not to say it can't be helpful, just that for me, right now, it's making things worse.
I hope to one day be stable enough to give it another go coz it does seem to be incredibly helpful trauma therapy.