you need to get the qt-devel for the qt lib you have
if you have apt installed already then as root simply type
apt-get update
apt-cache search qt
then find the qt-devel package and install it with
apt-get install qt-devel (whatever it's called)
or better yet just
apt-cache search GUIPod
then whetever the package name is
apt-get install GUIPod
and apt will always do all the dependancies for you ! (saved at last)
if you don't have apt yet
http://www.fedora.us/wiki/FedoraHOWTO
there is another package manager on fedora called yum i have never used but someone else can explain how to use it as well
basically redhat is now cured by these tools of the old rpm dependancy hell from years ago so learn how to use these tools and you will be set