How can we possibly make a comment about the kernel version.? You did not tell us which kernel you have.
The only comment I have is this:
Did you reboot to the latest kernel you had installed before you did the make of the module? and did you do a full dnf upgrade so everything was at the latest package level before you did the module make?
If you failed to do either one, then do the upgrade, followed by a reboot, then repeat the steps on that site, redo the make and install, then see if the module can be loaded into the kernel.
It is very important when building a kernel module that the kernel-devel and kernel-headers are correct for the running kernel so the module is built correctly.
If you know the name of the module built, a simple “sudo modprobe module-name” should insert it. Also, “lsmod | grep module-name” can tell you if that module is already loaded.
Using the command “inxi -Fxx” can give you details about all the installed hardware and any drivers currently running. If you see the wrong driver already loaded for that card you would need to do an “rmmod module-name” for the improper driver before the correct driver can be loaded.