WMP worked on old version of linux using wine back in 2002 era, but nobody working on anymore. As an alternative if your hardware supports it, using linux you can install windows as a virtual machine with libvirt(kvm) or virtualbox. This way you can install and use e-sword on native windows. For Windows license you can use free (limited) version of windows 10 (google how to free windows) or maybe you can find a license key online. Let me know if you're interested and I can provide you with more information.
The real solution IMO would be to get the online version back up. Wish more people would get on board with that since it would help so many linux users. Many less fortunate people around the world must use linux because Microsoft and Apple are too expensive, it's a shame such brilliant software must go un-used for so many.