No. You are rated very low on the scale of suicide concern for a therapist or psychiatrist. You have no plan or intention. Too many cry wolfs and T's get tired. Find something to distract yourself or call a suicide hotline... those people are there "to talk."
You even state that you are not in immediate danger. Don't you want your T to be there if you really need him/her?
1-800-273-8255 National Suicide Prevention Hotline
They just talk.