artists_beware | Advice on dealing with Acts of God and upset customers

So! On March 4th I was 37 weeks and 2 days pregnant. That night I started having visual disturbances (spots and blindness) and was admitted to a hospital 2 hours from my house. As the night progressed it became clear that I had a life-threatening condition called pre-eclampsia (it pretty much makes your blood pressure go crazy which can cause seizures and strokes and all sorts of fun stuff) and I was in danger and my son appeared to be dying. Labor was induced but my son was getting sicker faster than the labor was progressing and I had to have an emergency c-section.

I'm still really sick and recovering from major abdominal surgery, and my son was really sick as well and spent 2 weeks in the neonatal intensive care unit. I stayed with him in the hospital and couldn't go home because he had to gain weight to leave so I had to be there to feed him every 2-3 hours (and that whole breastpumping thing was not working out so well) and my house is over 2 hours away.

I tried to keep my customers in the loop so they knew why their prints hadn't arrived on time and everyone was pretty understanding except one customer who alternately e-mails me angry e-mails and apologetic e-mails. And I'm kinda at a loss, really. She thinks it's ridiculous, and I don't know what she expects from me. I just about died, I'm recovering from major surgery, I have a newborn who I wasn't totally prepared for and who was seriously life-or-death sick, and I'm still really sick and on huge amounts of medication so I don't have a seizure and drop dead. And because of the surgery, I'm not supposed to lift anything more than 10-15 pounds, so I can't lift the boxes of inventory in order to pack orders (but my husband has the weekend off and will help me).

I know good customer service would be to kiss her butt and fall all over myself apologizing... but I also feel like, she's an adult, and she seems to be under the impression her order is more important than my baby (who was still critically ill when she sent her first angry e-mail) and that whole not dying thing.

So what I'm wondering is, when something catastrophic and unpredictable happens to you and a customer gets impatient and starts threatening you with "I'll call so and so", is it wrong to gently inform them* of the reality of the situation, or should you just kiss butt, fall over yourself, etc.?

*As much as I would like to go crazy mama bear on her, I won't. I really do mean gently, as in, "I AM still recovering from an event that was physically and emotionally traumatic, and would appreciate it if you could be patient while I try to get myself back together." or some variation of that.