Once bird flu evolves beyond into a human-to-human communicable disease instead of only an animal-to-human communicable disease that it is now, I would be semi-worried. Still, I don't believe the H5N1 virus going to be nowhere as deadly as the one that caused the 1918 flu pandemic. Living conditions have improved, and there is much more known concerning health and healing since then. However, The ease of travel will make the disease travel farther and faster, and the current motality rate in the third world countries it is most prevalent in is about 50%. Generally the main people at risk will be those who are always at risk i.e. the elderly and small children, but it looks like this flu could also severly affect those in the healthier demographics. Personally, I am more frightened about its effect on the economy and international relations. Even if only 5% of those infected die, it will cause enough of a panic to slow down commerce and world trade.
But to answer the question in the ironic words of Shakespeare's Julius Caeser:
Cowards die many times before their deaths;
The valiant never taste of death but once.
Of all the wonders that I yet have heard.
It seems to me most strange that men should fear;
Seeing that death, a necessary end,
Will come when it will come.