I am so sorry for this new shock. I totally understand your having dreaded it, and now you have to process it. I don't know how it will impact you, but if you find yourself sliding back into grief for awhile, I hope you can be really gentle to yourself until you work back into detachment.
I think it is terrific that you told your students. I think they respect and appreciate us even more when they see as as human beings with lives and pains of our own. Not that it is an excuse for anything...just an added dimension to their "take" on us.
Your reply to H was truly classy. I doubt I could ever have done as well.