Find the product code for your adapter, for instance I have a Belkin G USB Adapter and on the back it has "Belkin F5D7050" written. Yours is probably the same as mine, but there's a few versions of it, but they don't seem to label the version on the device itself.
Mine is a 'v2001UK' according to the box and I've got it working on linux using ndiswrapper, which let's you use the windows drivers on linux; if yours is an F5D7050 too, the same should work on Fedora! I also got a v3000 version of the adapter working on Ubuntu using the rt73 driver (I think), so you could loo for packages for Fedora of it