eDonkey for Linux, Mldonkey, cDonkey, Lmule, and Xmule are all Linux file sharing aps that use the eDonkey network.
RedHat is a fine distro. Is there something specific about RedHat you don't like? It helps to have something to narrow down what you want in a distro. For example, if you wanted newbie friendliness, then Mandrake is often recommended.