I'm not trying to be mean, but while it's valid to "feel cheated out of being there for her"--its about what she needs (or perceives she needs). Right now, she says she needs not to be in contact with you. It may be that it's too hard, or she feels that you'll be giving her sympathy eyes and what she really wants is for someone to ask her how the kids are doing in soccer or something like that.
Whatever it is, though, just let it go......The fact that she rebuffed your friendship repeatedly before should've been an indication that the friendship is over.
Yes, it is really hard to be left feeling like you want to give more to someone else, and/or even feel very indebted (with gratitude) for their help. But instead of focusing on her--she doesn't want/need/accept your friendship and help--focus on giving to others to do want/need/accept your help. Take this impulse, which is a wonderful impulse, and give of your time to hospice or a homeless shelter or soup kitchen, etc. Pay it forward for someone else.
When you see her again, don't mention the funeral or her dad's passing unless she brings it up. And follow her lead--if she's cool, just be friendly but don't try to be friends. Do be professional, polite and friendly (take the high road).
Losing a friendship, even a one-sided one, can be a huge loss. Let yourself grieve and move on.