Can a professor ignore/say no to depression with prior attempt...?

I am having a really difficult tome in life rn.

My (ex) boyfriend cheated on me a 3 weeks ago (I broke up with him), my grandmother  (took care of her everyday as a CNA at the nursing home) died 2 weeks ago, and now I just found out that my dog (12) has a cancerous tumor by his heart...

I am 19 and just started nursing school abd am happy I got accepted and all, but these life changes are throwing me through a loop.

On top of that, I deal with depression, anxiety, and PTSD from being raped and abused at 13 to 16.

I overdosed January 2016 and was in the ICU for 16 days.

Long story short I have had a horrible day and could not concentrate on studying and have an Anatomy and Physiology exam tomorrow. I don't know what I am going to do and don't want to make up excuses, but I am not doing so hot right now. I've had suicidal thoughts today and it scared me. I will not try anything, in fact I am 17 months clean from cutting, but damn it hit me hard today...

Could I email my professor and ask to take the exam one day later? For example I would take it Tuesday instead of Monday...

I don't want to seem like a weak nursing student or a bad student, but it would be the only thing to make what I'm going through a little more livable right now... What do I do...?

Talk to a school consular first or the professor or what...?

Can my professor say no to letting me have an extra day or two to study after knowing what's happening in my life right now and after knowing about my attempt..?

If she does, do I ask my therapist what to do...?