You don't do anything. It is not about you. If she doesn't want to know you and has made that clear in the past, then stay the hell out of it.
If her feelings were "violent" in their magnitude, then a bunch of flowers or a hamper is going to be seen as ridiculous, given the gravity of the situation.
I don't know the history, but I would suggest if you actually want to reach out, a heartfelt letter would be much more suitable.

Of course, this is just my personal view, but if a severely estranged family member sent me a hamper after I had just almost died, and was grieving the loss of my fertility, I might just want to throttle them.