Wow. An ex dying has to be some god awful sh!t to go through. How long were they together?
Don't do any DJ tactics when it comes to this. Use your basic humanity senses on this one. I agree with Joekerr, that death = slide on a lot of stuff.
Either way, two things are going to happen now.
1. The relationship will die. This is from insane stress placed on a new LTR. Happens. As a Decent Human Being, know that this is a possibility, and just try to help her out in this time, if you actually care about her.
OR
2. The relationship will be stronger. She will appreciate and take comfort in the fact that you were a man, a rock so to speak, and that in times of crisis, she can depend on you to hold her down. After all, women want protection, right darwinists of this site?
In that sense it is true. Women want someone who can hold them through the sh!tstorms of life. They want a man who is strong, and resilient, but also kind and sensitive.
IF #1 is what happens here, I would not be surprised if she came looking for you in the years to come. Women always remember the One Who Got Away.